211120202100 has 144 divisors (see below), whose sum is σ = 636670361600. Its totient is φ = 53953430400.

The previous prime is 211120202087. The next prime is 211120202171. The reversal of 211120202100 is 1202021112.

211120202100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 847701 + ... + 1068099.

Almost surely, 2^211120202100 is an apocalyptic number.

211120202100 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 211120202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318335180800).

211120202100 is an abundant number, since it is smaller than the sum of its proper divisors (425550159500).

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

211120202100 is a wasteful number, since it uses less digits than its factorization.

211120202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220550 (or 220543 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211120202100 its reverse (1202021112), we get a palindrome (212322223212).

The spelling of 211120202100 in words is "two hundred eleven billion, one hundred twenty million, two hundred two thousand, one hundred".