10120011112000 has 56 divisors (see below), whose sum is σ = 25062207538680. Its totient is φ = 4048004441600.

The previous prime is 10120011111979. The next prime is 10120011112007. The reversal of 10120011112000 is 21111002101.

10120011112000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1716645003264 + 8403366108736 = 1310208^2 + 2898856^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10120011112007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 632492695 + ... + 632508694.

Almost surely, 2^{10120011112000} is an apocalyptic number.

10120011112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120011112000 is an abundant number, since it is smaller than the sum of its proper divisors (14942196426680).

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

10120011112000 is an equidigital number, since it uses as much as digits as its factorization.

10120011112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265001416 (or 1265001396 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10120011112000 its reverse (21111002101), we get a palindrome (10141122114101).

The spelling of 10120011112000 in words is "ten trillion, one hundred twenty billion, eleven million, one hundred twelve thousand".