100201202112000 has 320 divisors, whose sum is σ = 363429767720448. Its totient is φ = 24291200000000.

The previous prime is 100201202111981. The next prime is 100201202112017. The reversal of 100201202112000 is 211202102001.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21609876 + ... + 25833875.

Almost surely, 2^{100201202112000} is an apocalyptic number.

100201202112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201202112000 is an abundant number, since it is smaller than the sum of its proper divisors (263228565608448).

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

100201202112000 is an equidigital number, since it uses as much as digits as its factorization.

100201202112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47443798 (or 47443772 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100201202112000 its reverse (211202102001), we get a palindrome (100412404214001).

Subtracting from 100201202112000 its reverse (211202102001), we obtain a palindrome (99990000009999).

The spelling of 100201202112000 in words is "one hundred trillion, two hundred one billion, two hundred two million, one hundred twelve thousand".