21121012111000 has 64 divisors (see below), whose sum is σ = 49425022558080. Its totient is φ = 8448087884800.

The previous prime is 21121012110983. The next prime is 21121012111033. The reversal of 21121012111000 is 11121012112.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 27234609 + ... + 27999391.

It is an arithmetic number, because the mean of its divisors is an integer number (772265977470).

Almost surely, 2^{21121012111000} is an apocalyptic number.

21121012111000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121012111000 is an abundant number, since it is smaller than the sum of its proper divisors (28304010447080).

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

21121012111000 is a wasteful number, since it uses less digits than its factorization.

21121012111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792421 (or 792407 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 21121012111000 its reverse (11121012112), we get a palindrome (21132133123112).

The spelling of 21121012111000 in words is "twenty-one trillion, one hundred twenty-one billion, twelve million, one hundred eleven thousand".