21202102210100 has 72 divisors (see below), whose sum is σ = 53123288016960. Its totient is φ = 7194351006720.

The previous prime is 21202102210049. The next prime is 21202102210193. The reversal of 21202102210100 is 101220120212.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156059510 + ... + 156195309.

It is an arithmetic number, because the mean of its divisors is an integer number (737823444680).

Almost surely, 2^{21202102210100} is an apocalyptic number.

21202102210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21202102210100 is an abundant number, since it is smaller than the sum of its proper divisors (31921185806860).

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

21202102210100 is a wasteful number, since it uses less digits than its factorization.

21202102210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312254937 (or 312254930 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21202102210100 its reverse (101220120212), we get a palindrome (21303322330312).

The spelling of 21202102210100 in words is "twenty-one trillion, two hundred two billion, one hundred two million, two hundred ten thousand, one hundred".