1001012100112 has 20 divisors (see below), whose sum is σ = 1949305929516. Its totient is φ = 497965408640.

The previous prime is 1001012100107. The next prime is 1001012100149. The reversal of 1001012100112 is 2110012101001.

It can be written as a sum of positive squares in 2 ways, for example, as 798263623936 + 202748476176 = 893456^2 + 450276^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 158786839 + ... + 158793142.

Almost surely, 2^{1001012100112} is an apocalyptic number.

It is an amenable number.

1001012100112 is a deficient number, since it is larger than the sum of its proper divisors (948293829404).

1001012100112 is a wasteful number, since it uses less digits than its factorization.

1001012100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317580186 (or 317580180 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1001012100112 its reverse (2110012101001), we get a palindrome (3111024201113).

The spelling of 1001012100112 in words is "one trillion, one billion, twelve million, one hundred thousand, one hundred twelve".