100200100012100 has 108 divisors (see below), whose sum is σ = 240211134261252. Its totient is φ = 36251442796800.

The previous prime is 100200100012079. The next prime is 100200100012139. The reversal of 100200100012100 is 1210001002001.

It can be written as a sum of positive squares in 6 ways, for example, as 23104710973696 + 77095389038404 = 4806736^2 + 8780398^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18634067 + ... + 23401466.

Almost surely, 2^{100200100012100} is an apocalyptic number.

100200100012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100200100012100 is an abundant number, since it is smaller than the sum of its proper divisors (140011034249152).

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

100200100012100 is a wasteful number, since it uses less digits than its factorization.

100200100012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42035766 (or 42035748 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100200100012100 its reverse (1210001002001), we get a palindrome (101410101014101).

The spelling of 100200100012100 in words is "one hundred trillion, two hundred billion, one hundred million, twelve thousand, one hundred".