100201230220200 has 96 divisors (see below), whose sum is σ = 310708390027200. Its totient is φ = 26713052674560.

The previous prime is 100201230220171. The next prime is 100201230220207. The reversal of 100201230220200 is 2022032102001.

It is a happy number.

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 100201230220200.

It is not an unprimeable number, because it can be changed into a prime (100201230220207) 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, 20529940 + ... + 24937539.

It is an arithmetic number, because the mean of its divisors is an integer number (3236545729450).

Almost surely, 2^{100201230220200} is an apocalyptic number.

100201230220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201230220200 is an abundant number, since it is smaller than the sum of its proper divisors (210507159807000).

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

100201230220200 is a wasteful number, since it uses less digits than its factorization.

100201230220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45471171 (or 45471162 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 100201230220200 its reverse (2022032102001), we get a palindrome (102223262322201).

The spelling of 100201230220200 in words is "one hundred trillion, two hundred one billion, two hundred thirty million, two hundred twenty thousand, two hundred".