210122102120112 has 720 divisors, whose sum is σ = 747717667077888. Its totient is φ = 53896078080000.

The previous prime is 210122102120107. The next prime is 210122102120113. The reversal of 210122102120112 is 211021201221012.

210122102120112 is a `hidden beast` number, since 210 + 1 + 221 + 0 + 2 + 120 + 112 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (210122102120113) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18675854487 + ... + 18675865737.

Almost surely, 2^{210122102120112} 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 210122102120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373858833538944).

210122102120112 is an abundant number, since it is smaller than the sum of its proper divisors (537595564957776).

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

210122102120112 is a wasteful number, since it uses less digits than its factorization.

210122102120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14298 (or 14276 counting only the distinct ones).

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

Adding to 210122102120112 its reverse (211021201221012), we get a palindrome (421143303341124).

The spelling of 210122102120112 in words is "two hundred ten trillion, one hundred twenty-two billion, one hundred two million, one hundred twenty thousand, one hundred twelve".