2001100013121 has 16 divisors (see below), whose sum is σ = 2921198851008. Its totient is φ = 1208409585600.

The previous prime is 2001100013093. The next prime is 2001100013161. The reversal of 2001100013121 is 1213100011002.

It is not a de Polignac number, because 2001100013121 - 2⁶ = 2001100013057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2001100013097 and 2001100013106.

It is not an unprimeable number, because it can be changed into a prime (2001100013161) 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, 109448250 + ... + 109466531.

It is an arithmetic number, because the mean of its divisors is an integer number (182574928188).

Almost surely, 2^{2001100013121} is an apocalyptic number.

It is an amenable number.

2001100013121 is a deficient number, since it is larger than the sum of its proper divisors (920098837887).

2001100013121 is a wasteful number, since it uses less digits than its factorization.

2001100013121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218915072.

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

Adding to 2001100013121 its reverse (1213100011002), we get a palindrome (3214200024123).

The spelling of 2001100013121 in words is "two trillion, one billion, one hundred million, thirteen thousand, one hundred twenty-one".