10010032113120 has 96 divisors (see below), whose sum is σ = 33957108958752. Its totient is φ = 2464007903232.

The previous prime is 10010032113071. The next prime is 10010032113173. The reversal of 10010032113120 is 2131123001001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10010032113120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10010032113120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 802079667 + ... + 802092146.

It is an arithmetic number, because the mean of its divisors is an integer number (353719884987).

Almost surely, 2^{10010032113120} is an apocalyptic number.

10010032113120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010032113120 is an abundant number, since it is smaller than the sum of its proper divisors (23947076845632).

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

10010032113120 is a wasteful number, since it uses less digits than its factorization.

10010032113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604171844 (or 1604171836 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10010032113120 its reverse (2131123001001), we get a palindrome (12141155114121).

The spelling of 10010032113120 in words is "ten trillion, ten billion, thirty-two million, one hundred thirteen thousand, one hundred twenty".