212102112100122 has 128 divisors (see below), whose sum is σ = 477749282976000. Its totient is φ = 69745099511808.

The previous prime is 212102112100117. The next prime is 212102112100169. The reversal of 212102112100122 is 221001211201212.

212102112100122 is a `hidden beast` number, since 2 + 121 + 0 + 211 + 210 + 0 + 122 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 212102112100095 and 212102112100104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4926971254 + ... + 4927014302.

It is an arithmetic number, because the mean of its divisors is an integer number (3732416273250).

Almost surely, 2^{212102112100122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212102112100122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238874641488000).

212102112100122 is an abundant number, since it is smaller than the sum of its proper divisors (265647170875878).

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

212102112100122 is a wasteful number, since it uses less digits than its factorization.

212102112100122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46957 (or 46951 counting only the distinct ones).

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

Adding to 212102112100122 its reverse (221001211201212), we get a palindrome (433103323301334).

The spelling of 212102112100122 in words is "two hundred twelve trillion, one hundred two billion, one hundred twelve million, one hundred thousand, one hundred twenty-two".