2001012100113 has 64 divisors (see below), whose sum is σ = 2982060032000. Its totient is φ = 1185200812800.

The previous prime is 2001012100103. The next prime is 2001012100127. The reversal of 2001012100113 is 3110012101002.

It is not a de Polignac number, because 2001012100113 - 2⁴ = 2001012100097 is a prime.

It is a super-2 number, since 2×2001012100113² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2001012100103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 348059763 + ... + 348065511.

It is an arithmetic number, because the mean of its divisors is an integer number (46594688000).

Almost surely, 2^{2001012100113} is an apocalyptic number.

It is an amenable number.

2001012100113 is a deficient number, since it is larger than the sum of its proper divisors (981047931887).

2001012100113 is a wasteful number, since it uses less digits than its factorization.

2001012100113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7310.

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

Adding to 2001012100113 its reverse (3110012101002), we get a palindrome (5111024201115).

The spelling of 2001012100113 in words is "two trillion, one billion, twelve million, one hundred thousand, one hundred thirteen".