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10212221022201 = 32113726348721767
BaseRepresentation
bin1001010010011011011111…
…0011100110111111111001
31100011021112020112012010200
42110212313303212333321
52314304112040202301
633415232442032413
72102544233306532
oct224466763467771
940137466465120
1010212221022201
113287a84598070
12118b2441a8709
13591015346c83
142743ba323689
1512a99b245c86
hex949b7ce6ff9

10212221022201 has 96 divisors (see below), whose sum is σ = 16624571977728. Its totient is φ = 5986457953920.

The previous prime is 10212221022161. The next prime is 10212221022209. The reversal of 10212221022201 is 10222012221201.

It is a happy number.

10212221022201 is a `hidden beast` number, since 10 + 212 + 221 + 0 + 2 + 220 + 1 = 666.

It is not a de Polignac number, because 10212221022201 - 26 = 10212221022137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10212221022209) 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, 469149820 + ... + 469171586.

It is an arithmetic number, because the mean of its divisors is an integer number (173172624768).

Almost surely, 210212221022201 is an apocalyptic number.

10212221022201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10212221022201 is a deficient number, since it is larger than the sum of its proper divisors (6412350955527).

10212221022201 is a wasteful number, since it uses less digits than its factorization.

10212221022201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22571 (or 22568 counting only the distinct ones).

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

Adding to 10212221022201 its reverse (10222012221201), we get a palindrome (20434233243402).

The spelling of 10212221022201 in words is "ten trillion, two hundred twelve billion, two hundred twenty-one million, twenty-two thousand, two hundred one".

Divisors: 1 3 9 11 33 37 99 111 263 333 407 487 789 1221 1461 2367 2893 3663 4383 5357 8679 9731 16071 18019 21767 26037 29193 48213 54057 65301 87579 107041 128081 162171 195903 198209 239437 321123 384243 594627 718311 805379 963369 1152729 1408891 1783881 2154933 2416137 4226673 4738997 5724721 7248411 8859169 10600529 12680019 14216991 17174163 26577507 31801587 42650973 51522489 52128967 62971931 79732521 95404761 116605819 156386901 188915793 211814677 349817457 392219573 469160703 566747379 635444031 1049452371 1176658719 1906332093 2329961447 2787939127 3529976157 4314415303 6989884341 8363817381 12943245909 20969653023 25091452143 30667330397 38829737727 92001991191 103153747699 276005973573 309461243097 928383729291 1134691224689 3404073674067 10212221022201