21000202002100 has 72 divisors (see below), whose sum is σ = 46043457826968. Its totient is φ = 8312967168000.

The previous prime is 21000202002089. The next prime is 21000202002127. The reversal of 21000202002100 is 120020200012.

21000202002100 is digitally balanced in base 6, 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 12 ways, for example, as 1500046855696 + 19500155146404 = 1224764^2 + 4415898^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20849292 + ... + 21833308.

It is an arithmetic number, because the mean of its divisors is an integer number (639492469819).

Almost surely, 2^{21000202002100} is an apocalyptic number.

21000202002100 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 21000202002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23021728913484).

21000202002100 is an abundant number, since it is smaller than the sum of its proper divisors (25043255824868).

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

21000202002100 is a wasteful number, since it uses less digits than its factorization.

21000202002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986245 (or 986238 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 21000202002100 its reverse (120020200012), we get a palindrome (21120222202112).

The spelling of 21000202002100 in words is "twenty-one trillion, two hundred two million, two thousand, one hundred".