2001100101013 has 4 divisors (see below), whose sum is σ = 2155030878028. Its totient is φ = 1847169324000.

The previous prime is 2001100100983. The next prime is 2001100101061. The reversal of 2001100101013 is 3101010011002.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 998574508369 + 1002525592644 = 999287^2 + 1001262^2 .

It is not a de Polignac number, because 2001100101013 - 2³³ = 1992510166421 is a prime.

It is a super-2 number, since 2×2001100101013² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001100101073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 76965388488 + ... + 76965388513.

It is an arithmetic number, because the mean of its divisors is an integer number (538757719507).

Almost surely, 2^{2001100101013} is an apocalyptic number.

It is an amenable number.

2001100101013 is a deficient number, since it is larger than the sum of its proper divisors (153930777015).

2001100101013 is a wasteful number, since it uses less digits than its factorization.

2001100101013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153930777014.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 2001100101013 its reverse (3101010011002), we get a palindrome (5102110112015).

The spelling of 2001100101013 in words is "two trillion, one billion, one hundred million, one hundred one thousand, thirteen".