10103102112000 has 144 divisors (see below), whose sum is σ = 33557453983872. Its totient is φ = 2694160537600.

The previous prime is 10103102111987. The next prime is 10103102112001. The reversal of 10103102112000 is 21120130101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10103102112001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52524324 + ... + 52716323.

It is an arithmetic number, because the mean of its divisors is an integer number (233037874888).

Almost surely, 2^{10103102112000} is an apocalyptic number.

10103102112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10103102112000 is an abundant number, since it is smaller than the sum of its proper divisors (23454351871872).

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

10103102112000 is an equidigital number, since it uses as much as digits as its factorization.

10103102112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105240681 (or 105240657 counting only the distinct ones).

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

Adding to 10103102112000 its reverse (21120130101), we get a palindrome (10124222242101).

The spelling of 10103102112000 in words is "ten trillion, one hundred three billion, one hundred two million, one hundred twelve thousand".