100111302031200 has 72 divisors (see below), whose sum is σ = 325862288119368. Its totient is φ = 26696347207680.

The previous prime is 100111302031121. The next prime is 100111302031231. The reversal of 100111302031200 is 2130203111001.

It is a happy number.

100111302031200 is digitally balanced in base 4, 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100111302031200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20856518857 + ... + 20856523656.

It is an arithmetic number, because the mean of its divisors is an integer number (4525865112769).

Almost surely, 2^{100111302031200} is an apocalyptic number.

100111302031200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111302031200 is an abundant number, since it is smaller than the sum of its proper divisors (225750986088168).

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

100111302031200 is a wasteful number, since it uses less digits than its factorization.

100111302031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41713042536 (or 41713042523 counting only the distinct ones).

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

Adding to 100111302031200 its reverse (2130203111001), we get a palindrome (102241505142201).

The spelling of 100111302031200 in words is "one hundred trillion, one hundred eleven billion, three hundred two million, thirty-one thousand, two hundred".