100020112000100 has 36 divisors (see below), whose sum is σ = 217124720813364. Its totient is φ = 39993099588480.

The previous prime is 100020112000087. The next prime is 100020112000103. The reversal of 100020112000100 is 1000211020001.

It can be written as a sum of positive squares in 6 ways, for example, as 5363596611136 + 94656515388964 = 2315944^2 + 9729158^2 .

It is not an unprimeable number, because it can be changed into a prime (100020112000103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 186546107 + ... + 187081506.

Almost surely, 2^{100020112000100} is an apocalyptic number.

100020112000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100020112000100 is an abundant number, since it is smaller than the sum of its proper divisors (117104608813264).

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

100020112000100 is a wasteful number, since it uses less digits than its factorization.

100020112000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373630304 (or 373630297 counting only the distinct ones).

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

Adding to 100020112000100 its reverse (1000211020001), we get a palindrome (101020323020101).

The spelling of 100020112000100 in words is "one hundred trillion, twenty billion, one hundred twelve million, one hundred", and thus it is an aban number.