202101002100 has 90 divisors (see below), whose sum is σ = 655131632694. Its totient is φ = 53893598400.

The previous prime is 202101002069. The next prime is 202101002101. The reversal of 202101002100 is 1200101202.

202101002100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 280830564 + 201820171536 = 16758^2 + 449244^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202101002101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 12467271 + ... + 12483470.

Almost surely, 2^202101002100 is an apocalyptic number.

202101002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202101002100 is an abundant number, since it is smaller than the sum of its proper divisors (453030630594).

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

202101002100 is a wasteful number, since it uses less digits than its factorization.

202101002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24950767 (or 24950751 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 202101002100 its reverse (1200101202), we get a palindrome (203301103302).

The spelling of 202101002100 in words is "two hundred two billion, one hundred one million, two thousand, one hundred".