100202002011200 has 168 divisors, whose sum is σ = 252177570352512. Its totient is φ = 39170054010880.

The previous prime is 100202002011073. The next prime is 100202002011269. The reversal of 100202002011200 is 2110200202001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49926299 + ... + 51894501.

It is an arithmetic number, because the mean of its divisors is an integer number (1501056966384).

Almost surely, 2^{100202002011200} is an apocalyptic number.

100202002011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100202002011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126088785176256).

100202002011200 is an abundant number, since it is smaller than the sum of its proper divisors (151975568341312).

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

100202002011200 is a wasteful number, since it uses less digits than its factorization.

100202002011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968949 (or 1968934 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100202002011200 its reverse (2110200202001), we get a palindrome (102312202213201).

The spelling of 100202002011200 in words is "one hundred trillion, two hundred two billion, two million, eleven thousand, two hundred".