100202002012200 has 192 divisors, whose sum is σ = 341139217032000. Its totient is φ = 24128364697600.

The previous prime is 100202002012157. The next prime is 100202002012351. The reversal of 100202002012200 is 2210200202001.

100202002012200 is digitally balanced in base 3, 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 (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49963317 + ... + 51930116.

It is an arithmetic number, because the mean of its divisors is an integer number (1776766755375).

Almost surely, 2^{100202002012200} is an apocalyptic number.

100202002012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100202002012200 is an abundant number, since it is smaller than the sum of its proper divisors (240937215019800).

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

100202002012200 is a wasteful number, since it uses less digits than its factorization.

100202002012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101893612 (or 101893603 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 100202002012200 its reverse (2210200202001), we get a palindrome (102412202214201).

The spelling of 100202002012200 in words is "one hundred trillion, two hundred two billion, two million, twelve thousand, two hundred".