201022102102100 has 72 divisors (see below), whose sum is σ = 437480049984768. Its totient is φ = 80176452048000.

The previous prime is 201022102102027. The next prime is 201022102102141. The reversal of 201022102102100 is 1201201220102.

201022102102100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61704050 + ... + 64880150.

It is an arithmetic number, because the mean of its divisors is an integer number (6076111805344).

Almost surely, 2^{201022102102100} is an apocalyptic number.

201022102102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201022102102100 is an abundant number, since it is smaller than the sum of its proper divisors (236457947882668).

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

201022102102100 is a wasteful number, since it uses less digits than its factorization.

201022102102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3177945 (or 3177938 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201022102102100 its reverse (1201201220102), we get a palindrome (202223303322202).

The spelling of 201022102102100 in words is "two hundred one trillion, twenty-two billion, one hundred two million, one hundred two thousand, one hundred".