100100101012112 has 20 divisors (see below), whose sum is σ = 194023528858236. Its totient is φ = 50029512919680.

The previous prime is 100100101012097. The next prime is 100100101012127. The reversal of 100100101012112 is 211210101001001.

It is an interprime number because it is at equal distance from previous prime (100100101012097) and next prime (100100101012127).

It can be written as a sum of positive squares in 2 ways, for example, as 97322092118416 + 2778008893696 = 9865196^2 + 1666736^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100100101012093 and 100100101012102.

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, 1283558939 + ... + 1283636922.

Almost surely, 2^{100100101012112} is an apocalyptic number.

It is an amenable number.

100100101012112 is a deficient number, since it is larger than the sum of its proper divisors (93923427846124).

100100101012112 is a wasteful number, since it uses less digits than its factorization.

100100101012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567198306 (or 2567198300 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100100101012112 its reverse (211210101001001), we get a palindrome (311310202013113).

The spelling of 100100101012112 in words is "one hundred trillion, one hundred billion, one hundred one million, twelve thousand, one hundred twelve".