100202131003200 has 168 divisors, whose sum is σ = 332707293891168. Its totient is φ = 26398633605120.

The previous prime is 100202131003187. The next prime is 100202131003201. The reversal of 100202131003200 is 2300131202001.

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 100202131003200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100202131003201) 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, 125357287 + ... + 126154086.

It is an arithmetic number, because the mean of its divisors is an integer number (1980400558876).

Almost surely, 2^{100202131003200} is an apocalyptic number.

100202131003200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100202131003200 is an abundant number, since it is smaller than the sum of its proper divisors (232505162887968).

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

100202131003200 is a wasteful number, since it uses less digits than its factorization.

100202131003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251511481 (or 251511466 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100202131003200 its reverse (2300131202001), we get a palindrome (102502262205201).

The spelling of 100202131003200 in words is "one hundred trillion, two hundred two billion, one hundred thirty-one million, three thousand, two hundred".