21120100011120 has 160 divisors (see below), whose sum is σ = 72771967724544. Its totient is φ = 5023419980800.

The previous prime is 21120100011089. The next prime is 21120100011139. The reversal of 21120100011120 is 2111000102112.

It is a super-2 number, since 2×21120100011120² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 21120100011096 and 21120100011105.

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 31 ways as a sum of consecutive naturals, for example, 75332136 + ... + 75611975.

Almost surely, 2^{21120100011120} is an apocalyptic number.

21120100011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21120100011120 is an abundant number, since it is smaller than the sum of its proper divisors (51651867713424).

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

21120100011120 is a wasteful number, since it uses less digits than its factorization.

21120100011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150944191 (or 150944185 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21120100011120 its reverse (2111000102112), we get a palindrome (23231100113232).

The spelling of 21120100011120 in words is "twenty-one trillion, one hundred twenty billion, one hundred million, eleven thousand, one hundred twenty".