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2101122112212 = 2232293164921583
BaseRepresentation
bin11110100100110100101…
…000110001101011010100
321102212100210221101210100
4132210310220301223110
5233411044230042322
64245124150454100
7304541523163524
oct36446450615324
97385323841710
102101122112212
11740098724452
1229b265664330
1312319a697426
14739a2967684
15399c59b9dac
hex1e934a31ad4

2101122112212 has 72 divisors (see below), whose sum is σ = 5671549578240. Its totient is φ = 654409546560.

The previous prime is 2101122112211. The next prime is 2101122112249. The reversal of 2101122112212 is 2122112211012.

2101122112212 is a `hidden beast` number, since 210 + 11 + 221 + 1 + 221 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101122112211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32428428 + ... + 32493155.

It is an arithmetic number, because the mean of its divisors is an integer number (78771521920).

Almost surely, 22101122112212 is an apocalyptic number.

It is an amenable number.

2101122112212 is an abundant number, since it is smaller than the sum of its proper divisors (3570427466028).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2101122112212 is a wasteful number, since it uses less digits than its factorization.

2101122112212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64921653 (or 64921648 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2101122112212 its reverse (2122112211012), we get a palindrome (4223234323224).

The spelling of 2101122112212 in words is "two trillion, one hundred one billion, one hundred twenty-two million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 29 31 36 58 62 87 93 116 124 174 186 261 279 348 372 522 558 899 1044 1116 1798 2697 3596 5394 8091 10788 16182 32364 64921583 129843166 194764749 259686332 389529498 584294247 779058996 1168588494 1882725907 2012569073 2337176988 3765451814 4025138146 5648177721 6037707219 7530903628 8050276292 11296355442 12075414438 16944533163 18113121657 22592710884 24150828876 33889066326 36226243314 58364503117 67778132652 72452486628 116729006234 175093509351 233458012468 350187018702 525280528053 700374037404 1050561056106 2101122112212