202100111021100 has 144 divisors (see below), whose sum is σ = 588565002206720. Its totient is φ = 53542120262400.

The previous prime is 202100111021087. The next prime is 202100111021119. The reversal of 202100111021100 is 1120111001202.

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

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, 28631235 + ... + 34984965.

Almost surely, 2^{202100111021100} is an apocalyptic number.

202100111021100 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 202100111021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294282501103360).

202100111021100 is an abundant number, since it is smaller than the sum of its proper divisors (386464891185620).

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

202100111021100 is a wasteful number, since it uses less digits than its factorization.

202100111021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6354440 (or 6354433 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 202100111021100 its reverse (1120111001202), we get a palindrome (203220222022302).

The spelling of 202100111021100 in words is "two hundred two trillion, one hundred billion, one hundred eleven million, twenty-one thousand, one hundred".