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201012022201221 = 327115713407149101
BaseRepresentation
bin101101101101000111000010…
…001011011100101110000101
3222100201120011102221120202100
4231231013002023130232011
5202321340110140414341
61551303352001302313
760224432204145060
oct5555070213345605
9870646142846670
10201012022201221
11590597a1183a30
121a665587634999
13882147719354a
14378d0689c78d7
151838bb5eae3b6
hexb6d1c22dcb85

201012022201221 has 96 divisors (see below), whose sum is σ = 362738513719296. Its totient is φ = 104207659920000.

The previous prime is 201012022201217. The next prime is 201012022201231. The reversal of 201012022201221 is 122102220210102.

It is a happy number.

201012022201221 is a `hidden beast` number, since 20 + 1 + 0 + 1 + 202 + 220 + 1 + 221 = 666.

201012022201221 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 201012022201221 - 22 = 201012022201217 is a prime.

It is a super-4 number, since 4×2010120222012214 (a number of 58 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201012022201194 and 201012022201203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201012022201231) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1348085571 + ... + 1348234671.

It is an arithmetic number, because the mean of its divisors is an integer number (3778526184576).

Almost surely, 2201012022201221 is an apocalyptic number.

201012022201221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201012022201221 is a deficient number, since it is larger than the sum of its proper divisors (161726491518075).

201012022201221 is a wasteful number, since it uses less digits than its factorization.

201012022201221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153103 (or 153100 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201012022201221 its reverse (122102220210102), we get a palindrome (323114242411323).

The spelling of 201012022201221 in words is "two hundred one trillion, twelve billion, twenty-two million, two hundred one thousand, two hundred twenty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 571 693 1713 3407 3997 5139 6281 10221 11991 18843 23849 30663 35973 37477 43967 56529 71547 112431 131901 149101 214641 262339 337293 395703 447303 787017 1043707 1341909 1640111 1945397 2361051 3131121 4920333 5836191 9393363 11480777 13617779 14760999 17508573 21399367 34442331 40853337 64198101 85136671 103326993 122560011 149795569 192594303 255410013 449386707 507987107 595956697 766230039 936503381 1348160121 1523961321 1787870091 2809510143 3555909749 4571883963 5363610273 5587858177 6555523667 8428530429 10667729247 16763574531 19666571001 32003187741 39115007239 50290723593 58999713003 117345021717 290060638097 352035065151 870181914291 2030424466679 2610545742873 3190667019067 6091273400037 9572001057201 18273820200111 22334669133469 28716003171603 67004007400407 201012022201221