21101102001100 has 72 divisors (see below), whose sum is σ = 50091206457600. Its totient is φ = 7651754241600.

The previous prime is 21101102001073. The next prime is 21101102001127. The reversal of 21101102001100 is 110020110112.

It is an interprime number because it is at equal distance from previous prime (21101102001073) and next prime (21101102001127).

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

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, 26322120 + ... + 27111919.

It is an arithmetic number, because the mean of its divisors is an integer number (695711200800).

Almost surely, 2^{21101102001100} is an apocalyptic number.

21101102001100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21101102001100 is an abundant number, since it is smaller than the sum of its proper divisors (28990104456500).

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

21101102001100 is a wasteful number, since it uses less digits than its factorization.

21101102001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53434423 (or 53434416 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 21101102001100 its reverse (110020110112), we get a palindrome (21211122111212).

The spelling of 21101102001100 in words is "twenty-one trillion, one hundred one billion, one hundred two million, one thousand, one hundred".