202110000100100 has 288 divisors, whose sum is σ = 486998092627200. Its totient is φ = 72667484313600.

The previous prime is 202110000100051. The next prime is 202110000100103. The reversal of 202110000100100 is 1001000011202.

202110000100100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (202110000100103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7469220371 + ... + 7469247429.

It is an arithmetic number, because the mean of its divisors is an integer number (1690965599400).

Almost surely, 2^{202110000100100} is an apocalyptic number.

202110000100100 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 202110000100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243499046313600).

202110000100100 is an abundant number, since it is smaller than the sum of its proper divisors (284888092527100).

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

202110000100100 is a wasteful number, since it uses less digits than its factorization.

202110000100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27808 (or 27767 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 202110000100100 its reverse (1001000011202), we get a palindrome (203111000111302).

The spelling of 202110000100100 in words is "two hundred two trillion, one hundred ten billion, one hundred thousand, one hundred".