100001000100112 has 20 divisors (see below), whose sum is σ = 193752124847260. Its totient is φ = 50000451752448.

The previous prime is 100001000100109. The next prime is 100001000100151. The reversal of 100001000100112 is 211001000100001.

It can be written as a sum of positive squares in 2 ways, for example, as 64226055261456 + 35774944838656 = 8014116^2 + 5981216^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100001000100095 and 100001000100104.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18875068 + ... + 23585380.

It is an arithmetic number, because the mean of its divisors is an integer number (9687606242363).

Almost surely, 2^{100001000100112} is an apocalyptic number.

It is an amenable number.

100001000100112 is a deficient number, since it is larger than the sum of its proper divisors (93751124747148).

100001000100112 is a wasteful number, since it uses less digits than its factorization.

100001000100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6037210 (or 6037204 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100001000100112 its reverse (211001000100001), we get a palindrome (311002000200113).

The spelling of 100001000100112 in words is "one hundred trillion, one billion, one hundred thousand, one hundred twelve".