10021011111120 has 160 divisors (see below), whose sum is σ = 32139319737600. Its totient is φ = 2579883651072.

The previous prime is 10021011111079. The next prime is 10021011111131. The reversal of 10021011111120 is 2111111012001.

10021011111120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10021011111096 and 10021011111105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82505796 + ... + 82627164.

It is an arithmetic number, because the mean of its divisors is an integer number (200870748360).

Almost surely, 2^{10021011111120} is an apocalyptic number.

10021011111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021011111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16069659868800).

10021011111120 is an abundant number, since it is smaller than the sum of its proper divisors (22118308626480).

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

10021011111120 is a wasteful number, since it uses less digits than its factorization.

10021011111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133277 (or 133271 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10021011111120 its reverse (2111111012001), we get a palindrome (12132122123121).

The spelling of 10021011111120 in words is "ten trillion, twenty-one billion, eleven million, one hundred eleven thousand, one hundred twenty".