2101013321121 has 48 divisors (see below), whose sum is σ = 3588065557440. Its totient is φ = 1167905381760.

The previous prime is 2101013320993. The next prime is 2101013321129. The reversal of 2101013321121 is 1211233101012.

2101013321121 is a `hidden beast` number, since 210 + 1 + 0 + 1 + 332 + 1 + 121 = 666.

It is not a de Polignac number, because 2101013321121 - 2⁷ = 2101013320993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2101013321094 and 2101013321103.

It is not an unprimeable number, because it can be changed into a prime (2101013321129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4996951 + ... + 5401068.

It is an arithmetic number, because the mean of its divisors is an integer number (74751365780).

Almost surely, 2^{2101013321121} is an apocalyptic number.

It is an amenable number.

2101013321121 is a deficient number, since it is larger than the sum of its proper divisors (1487052236319).

2101013321121 is a wasteful number, since it uses less digits than its factorization.

2101013321121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10398206 (or 10398203 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 2101013321121 its reverse (1211233101012), we get a palindrome (3312246422133).

The spelling of 2101013321121 in words is "two trillion, one hundred one billion, thirteen million, three hundred twenty-one thousand, one hundred twenty-one".