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212021102110212 = 2232314159731377853
BaseRepresentation
bin110000001101010100000010…
…011110011110011000000100
31000210201000112011001102121100
4300031110002132132120010
5210242223204120011322
62030533052155020100
762442006363316323
oct6015240236363004
91023630464042540
10212021102110212
116161370a84295a
121b94313a13a630
13913c6727956c5
143a4dc3a0160ba
15197a24e87bdac
hexc0d50279e604

212021102110212 has 576 divisors, whose sum is σ = 588563891435520. Its totient is φ = 64215841996800.

The previous prime is 212021102110201. The next prime is 212021102110229. The reversal of 212021102110212 is 212011201120212.

212021102110212 is a `hidden beast` number, since 212 + 0 + 21 + 10 + 211 + 0 + 212 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26998735678 + ... + 26998743530.

It is an arithmetic number, because the mean of its divisors is an integer number (1021812311520).

Almost surely, 2212021102110212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212021102110212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294281945717760).

212021102110212 is an abundant number, since it is smaller than the sum of its proper divisors (376542789325308).

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

212021102110212 is a wasteful number, since it uses less digits than its factorization.

212021102110212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8204 (or 8199 counting only the distinct ones).

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

Adding to 212021102110212 its reverse (212011201120212), we get a palindrome (424032303230424).

The spelling of 212021102110212 in words is "two hundred twelve trillion, twenty-one billion, one hundred two million, one hundred ten thousand, two hundred twelve".