2121110100331 has 8 divisors (see below), whose sum is σ = 2172872679264. Its totient is φ = 2069348863680.

The previous prime is 2121110100311. The next prime is 2121110100337. The reversal of 2121110100331 is 1330010111212.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2121110100331 - 2⁵ = 2121110100299 is a prime.

It is a super-2 number, since 2×2121110100331² (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 (2121110100337) 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 7 ways as a sum of consecutive naturals, for example, 3351850 + ... + 3934096.

It is an arithmetic number, because the mean of its divisors is an integer number (271609084908).

Almost surely, 2^{2121110100331} is an apocalyptic number.

2121110100331 is a deficient number, since it is larger than the sum of its proper divisors (51762578933).

2121110100331 is an equidigital number, since it uses as much as digits as its factorization.

2121110100331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671141.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 2121110100331 its reverse (1330010111212), we get a palindrome (3451120211543).

The spelling of 2121110100331 in words is "two trillion, one hundred twenty-one billion, one hundred ten million, one hundred thousand, three hundred thirty-one".