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21122000100201 = 37111337190098191
BaseRepresentation
bin1001100110101110110010…
…10100000001101101101001
32202210020120111121011022110
410303113121110001231221
510232030324011201301
6112531151330112533
74310004565353150
oct463273124015551
982706514534273
1021122000100201
116803876452a20
12245170311b749
13ba2a46c47780
1453044b4d0597
15269671e850d6
hex1335d9501b69

21122000100201 has 64 divisors (see below), whose sum is σ = 38834779447296. Its totient is φ = 9854690169600.

The previous prime is 21122000100151. The next prime is 21122000100203. The reversal of 21122000100201 is 10200100022112.

It is not a de Polignac number, because 21122000100201 - 213 = 21122000092009 is a prime.

It is a super-2 number, since 2×211220001002012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21122000100203) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94937985 + ... + 95160206.

It is an arithmetic number, because the mean of its divisors is an integer number (606793428864).

Almost surely, 221122000100201 is an apocalyptic number.

21122000100201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21122000100201 is a deficient number, since it is larger than the sum of its proper divisors (17712779347095).

21122000100201 is a wasteful number, since it uses less digits than its factorization.

21122000100201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190098262.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21122000100201 its reverse (10200100022112), we get a palindrome (31322100122313).

The spelling of 21122000100201 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred thousand, two hundred one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 481 777 1001 1221 1443 2849 3003 3367 5291 8547 10101 15873 37037 111111 190098191 570294573 1330687337 2091080101 2471276483 3992062011 6273240303 7033633067 7413829449 14637560707 17298935381 21100899201 27184041313 43912682121 49235431469 51896806143 77369963737 81552123939 91437229871 147706294407 190288289191 232109891211 274311689613 541589746159 570864867573 640060609097 1005809528581 1624769238477 1920181827291 3017428585743 7040666700067 21122000100201