100202001112200 has 192 divisors, whose sum is σ = 334547468841600. Its totient is φ = 24663121459200.

The previous prime is 100202001112063. The next prime is 100202001112243. The reversal of 100202001112200 is 2211100202001.

100202001112200 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97527165 + ... + 98549235.

It is an arithmetic number, because the mean of its divisors is an integer number (1742434733550).

Almost surely, 2^{100202001112200} is an apocalyptic number.

100202001112200 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 100202001112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167273734420800).

100202001112200 is an abundant number, since it is smaller than the sum of its proper divisors (234345467729400).

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

100202001112200 is a wasteful number, since it uses less digits than its factorization.

100202001112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034672 (or 1034663 counting only the distinct ones).

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

Adding to 100202001112200 its reverse (2211100202001), we get a palindrome (102413101314201).

The spelling of 100202001112200 in words is "one hundred trillion, two hundred two billion, one million, one hundred twelve thousand, two hundred".