1012112012001 has 16 divisors (see below), whose sum is σ = 1408180414464. Its totient is φ = 645393499344.

The previous prime is 1012112011891. The next prime is 1012112012057. The reversal of 1012112012001 is 1002102112101.

It is not a de Polignac number, because 1012112012001 - 2¹⁰ = 1012112010977 is a prime.

It is a super-3 number, since 3×1012112012001³ (a number of 37 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1012112012081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5892600 + ... + 6061926.

It is an arithmetic number, because the mean of its divisors is an integer number (88011275904).

Almost surely, 2^{1012112012001} is an apocalyptic number.

It is an amenable number.

1012112012001 is a deficient number, since it is larger than the sum of its proper divisors (396068402463).

1012112012001 is a wasteful number, since it uses less digits than its factorization.

1012112012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255980.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1012112012001 its reverse (1002102112101), we get a palindrome (2014214124102).

The spelling of 1012112012001 in words is "one trillion, twelve billion, one hundred twelve million, twelve thousand, one".