21100000022000 has 80 divisors (see below), whose sum is σ = 52665600209664. Its totient is φ = 8167741920000.

The previous prime is 21100000021979. The next prime is 21100000022027. The reversal of 21100000022000 is 22000000112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 170099291 + ... + 170223290.

Almost surely, 2^{21100000022000} is an apocalyptic number.

21100000022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21100000022000 is an abundant number, since it is smaller than the sum of its proper divisors (31565600187664).

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

21100000022000 is a wasteful number, since it uses less digits than its factorization.

21100000022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340322635 (or 340322619 counting only the distinct ones).

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

Adding to 21100000022000 its reverse (22000000112), we get a palindrome (21122000022112).

The spelling of 21100000022000 in words is "twenty-one trillion, one hundred billion, twenty-two thousand".