210100022102112 has 96 divisors (see below), whose sum is σ = 585581088960000. Its totient is φ = 65730128529408.

The previous prime is 210100022102083. The next prime is 210100022102177. The reversal of 210100022102112 is 211201220001012.

210100022102112 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 210100022102091 and 210100022102100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178714612 + ... + 179886387.

It is an arithmetic number, because the mean of its divisors is an integer number (6099803010000).

Almost surely, 2^{210100022102112} is an apocalyptic number.

It is an amenable number.

210100022102112 is an abundant number, since it is smaller than the sum of its proper divisors (375481066857888).

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

210100022102112 is a wasteful number, since it uses less digits than its factorization.

210100022102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358601388 (or 358601380 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 210100022102112 its reverse (211201220001012), we get a palindrome (421301242103124).

The spelling of 210100022102112 in words is "two hundred ten trillion, one hundred billion, twenty-two million, one hundred two thousand, one hundred twelve".