100012100120200 has 24 divisors (see below), whose sum is σ = 232528132779930. Its totient is φ = 40004840048000.

The previous prime is 100012100120183. The next prime is 100012100120237. The reversal of 100012100120200 is 2021001210001.

It can be written as a sum of positive squares in 3 ways, for example, as 95350655034756 + 4661445085444 = 9764766^2 + 2159038^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 250030250101 + ... + 250030250500.

Almost surely, 2^{100012100120200} is an apocalyptic number.

100012100120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100012100120200 is an abundant number, since it is smaller than the sum of its proper divisors (132516032659730).

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

100012100120200 is a wasteful number, since it uses less digits than its factorization.

100012100120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500060500617 (or 500060500608 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100012100120200 its reverse (2021001210001), we get a palindrome (102033101330201).

The spelling of 100012100120200 in words is "one hundred trillion, twelve billion, one hundred million, one hundred twenty thousand, two hundred".