100002112000100 has 36 divisors (see below), whose sum is σ = 217010489010084. Its totient is φ = 39999756142080.

The previous prime is 100002112000069. The next prime is 100002112000121. The reversal of 100002112000100 is 1000211200001.

It can be written as a sum of positive squares in 6 ways, for example, as 34541973526564 + 65460138473536 = 5877242^2 + 8090744^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9910529 + ... + 17269128.

It is an arithmetic number, because the mean of its divisors is an integer number (6028069139169).

Almost surely, 2^{100002112000100} is an apocalyptic number.

100002112000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100002112000100 is an abundant number, since it is smaller than the sum of its proper divisors (117008377009984).

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

100002112000100 is a wasteful number, since it uses less digits than its factorization.

100002112000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27216464 (or 27216457 counting only the distinct ones).

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

Adding to 100002112000100 its reverse (1000211200001), we get a palindrome (101002323200101).

The spelling of 100002112000100 in words is "one hundred trillion, two billion, one hundred twelve million, one hundred", and thus it is an aban number.