1000100100112 has 20 divisors (see below), whose sum is σ = 2000200201216. Its totient is φ = 483919403040.

The previous prime is 1000100100059. The next prime is 1000100100119. The reversal of 1000100100112 is 2110010010001.

1000100100112 is an admirable number.

It is a junction number, because it is equal to n+sod(n) for n = 1000100100095 and 1000100100104.

It is not an unprimeable number, because it can be changed into a prime (1000100100119) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1008164928 + ... + 1008165919.

Almost surely, 2^{1000100100112} is an apocalyptic number.

It is an amenable number.

1000100100112 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

1000100100112 is a wasteful number, since it uses less digits than its factorization.

1000100100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2016330886 (or 2016330880 counting only the distinct ones).

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

Adding to 1000100100112 its reverse (2110010010001), we get a palindrome (3110110110113).

The spelling of 1000100100112 in words is "one trillion, one hundred million, one hundred thousand, one hundred twelve".