10114420961520 has 160 divisors (see below), whose sum is σ = 35962385879040. Its totient is φ = 2610173134080.

The previous prime is 10114420961509. The next prime is 10114420961539. The reversal of 10114420961520 is 2516902441101.

10114420961520 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 4 + 42 + 0 + 96 + 1 + 520 = 666.

It is a super-2 number, since 2×10114420961520² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 75458884 + ... + 75592803.

It is an arithmetic number, because the mean of its divisors is an integer number (224764911744).

Almost surely, 2^{10114420961520} is an apocalyptic number.

10114420961520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10114420961520 is an abundant number, since it is smaller than the sum of its proper divisors (25847964917520).

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

10114420961520 is a wasteful number, since it uses less digits than its factorization.

10114420961520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151051740 (or 151051728 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 10114420961520 in words is "ten trillion, one hundred fourteen billion, four hundred twenty million, nine hundred sixty-one thousand, five hundred twenty".