1001000100112 has 20 divisors (see below), whose sum is σ = 1951790805196. Its totient is φ = 497312150400.

The previous prime is 1001000100103. The next prime is 1001000100151. The reversal of 1001000100112 is 2110010001001.

It can be written as a sum of positive squares in 2 ways, for example, as 331771392016 + 669228708096 = 575996^2 + 818064^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1001000100095 and 1001000100104.

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, 199241139 + ... + 199246162.

Almost surely, 2^{1001000100112} is an apocalyptic number.

It is an amenable number.

1001000100112 is a deficient number, since it is larger than the sum of its proper divisors (950790705084).

1001000100112 is a wasteful number, since it uses less digits than its factorization.

1001000100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398487466 (or 398487460 counting only the distinct ones).

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

Adding to 1001000100112 its reverse (2110010001001), we get a palindrome (3111010101113).

The spelling of 1001000100112 in words is "one trillion, one billion, one hundred thousand, one hundred twelve".