210011102100 has 216 divisors, whose sum is σ = 695378305440. Its totient is φ = 52866743040.

The previous prime is 210011102069. The next prime is 210011102207. The reversal of 210011102100 is 1201110012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4817602 + ... + 4860998.

Almost surely, 2^210011102100 is an apocalyptic number.

210011102100 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 210011102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347689152720).

210011102100 is an abundant number, since it is smaller than the sum of its proper divisors (485367203340).

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

210011102100 is a wasteful number, since it uses less digits than its factorization.

210011102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43719 (or 43709 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 210011102100 its reverse (1201110012), we get a palindrome (211212212112).

The spelling of 210011102100 in words is "two hundred ten billion, eleven million, one hundred two thousand, one hundred".