21102010022100 has 72 divisors (see below), whose sum is σ = 69777313146688. Its totient is φ = 4823316576000.

The previous prime is 21102010022057. The next prime is 21102010022101. The reversal of 21102010022100 is 122001020112.

21102010022100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21102010022101) by changing a digit.

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, 5024286001 + ... + 5024290200.

Almost surely, 2^{21102010022100} is an apocalyptic number.

21102010022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21102010022100 is an abundant number, since it is smaller than the sum of its proper divisors (48675303124588).

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

21102010022100 is a wasteful number, since it uses less digits than its factorization.

21102010022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10048576225 (or 10048576218 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21102010022100 its reverse (122001020112), we get a palindrome (21224011042212).

The spelling of 21102010022100 in words is "twenty-one trillion, one hundred two billion, ten million, twenty-two thousand, one hundred".