10022010111120 has 160 divisors (see below), whose sum is σ = 35851274514432. Its totient is φ = 2268504884736.

The previous prime is 10022010111073. The next prime is 10022010111121. The reversal of 10022010111120 is 2111101022001.

It is a super-4 number, since 4×10022010111120⁴ (a number of 53 digits) contains 4444 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 = 10022010111096 and 10022010111105.

It is not an unprimeable number, because it can be changed into a prime (10022010111121) 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 31 ways as a sum of consecutive naturals, for example, 28785612 + ... + 29131691.

Almost surely, 2^{10022010111120} is an apocalyptic number.

10022010111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022010111120 is an abundant number, since it is smaller than the sum of its proper divisors (25829264403312).

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

10022010111120 is a wasteful number, since it uses less digits than its factorization.

10022010111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57917429 (or 57917423 counting only the distinct ones).

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

Adding to 10022010111120 its reverse (2111101022001), we get a palindrome (12133111133121).

The spelling of 10022010111120 in words is "ten trillion, twenty-two billion, ten million, one hundred eleven thousand, one hundred twenty".