100152653330200 has 96 divisors (see below), whose sum is σ = 238541384561760. Its totient is φ = 39082802662400.

The previous prime is 100152653330173. The next prime is 100152653330201. The reversal of 100152653330200 is 2033356251001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100152653330201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 308215014 + ... + 308539786.

It is an arithmetic number, because the mean of its divisors is an integer number (2484806089185).

Almost surely, 2^{100152653330200} is an apocalyptic number.

100152653330200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100152653330200 is an abundant number, since it is smaller than the sum of its proper divisors (138388731231560).

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

100152653330200 is a wasteful number, since it uses less digits than its factorization.

100152653330200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362437 (or 362428 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 31.

The spelling of 100152653330200 in words is "one hundred trillion, one hundred fifty-two billion, six hundred fifty-three million, three hundred thirty thousand, two hundred".