10142502616200 has 96 divisors (see below), whose sum is σ = 31630032423360. Its totient is φ = 2688471724800.

The previous prime is 10142502616199. The next prime is 10142502616289. The reversal of 10142502616200 is 261620524101.

10142502616200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50511091 + ... + 50711490.

It is an arithmetic number, because the mean of its divisors is an integer number (329479504410).

Almost surely, 2^{10142502616200} is an apocalyptic number.

10142502616200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142502616200 is an abundant number, since it is smaller than the sum of its proper divisors (21487529807160).

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

10142502616200 is a wasteful number, since it uses less digits than its factorization.

10142502616200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101222767 (or 101222758 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 10142502616200 in words is "ten trillion, one hundred forty-two billion, five hundred two million, six hundred sixteen thousand, two hundred".