210100232022100 has 144 divisors (see below), whose sum is σ = 525938071559040. Its totient is φ = 71358449011200.

The previous prime is 210100232022067. The next prime is 210100232022133. The reversal of 210100232022100 is 1220232001012.

It is a happy number.

210100232022100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (210100232022067) and next prime (210100232022133).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3779501106 + ... + 3779556694.

It is an arithmetic number, because the mean of its divisors is an integer number (3652347719160).

Almost surely, 2^{210100232022100} is an apocalyptic number.

210100232022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210100232022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262969035779520).

210100232022100 is an abundant number, since it is smaller than the sum of its proper divisors (315837839536940).

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

210100232022100 is a wasteful number, since it uses less digits than its factorization.

210100232022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106178 (or 106171 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 210100232022100 its reverse (1220232001012), we get a palindrome (211320464023112).

The spelling of 210100232022100 in words is "two hundred ten trillion, one hundred billion, two hundred thirty-two million, twenty-two thousand, one hundred".