21121211011120 has 80 divisors (see below), whose sum is σ = 53572647515040. Its totient is φ = 7680214425600.

The previous prime is 21121211011099. The next prime is 21121211011123. The reversal of 21121211011120 is 2111011212112.

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

It is a super-2 number, since 2×21121211011120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 21121211011094 and 21121211011103.

It is not an unprimeable number, because it can be changed into a prime (21121211011123) by changing a digit.

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, 31176790 + ... + 31847050.

It is an arithmetic number, because the mean of its divisors is an integer number (669658093938).

Almost surely, 2^{21121211011120} is an apocalyptic number.

21121211011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121211011120 is an abundant number, since it is smaller than the sum of its proper divisors (32451436503920).

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

21121211011120 is a wasteful number, since it uses less digits than its factorization.

21121211011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706094 (or 706088 counting only the distinct ones).

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

Adding to 21121211011120 its reverse (2111011212112), we get a palindrome (23232222223232).

The spelling of 21121211011120 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred eleven million, eleven thousand, one hundred twenty".