10120031100000 has 216 divisors, whose sum is σ = 35971248942720. Its totient is φ = 2698674720000.

The previous prime is 10120031099977. The next prime is 10120031100001. The reversal of 10120031100000 is 113002101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120031100001) 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 35 ways as a sum of consecutive naturals, for example, 4722240 + ... + 6522239.

It is an arithmetic number, because the mean of its divisors is an integer number (166533559920).

Almost surely, 2^{10120031100000} is an apocalyptic number.

10120031100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120031100000 is an abundant number, since it is smaller than the sum of its proper divisors (25851217842720).

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

10120031100000 is an equidigital number, since it uses as much as digits as its factorization.

10120031100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11244520 (or 11244489 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10120031100000 its reverse (113002101), we get a palindrome (10120144102101).

The spelling of 10120031100000 in words is "ten trillion, one hundred twenty billion, thirty-one million, one hundred thousand".