2121120331331 has 16 divisors (see below), whose sum is σ = 2163566432160. Its totient is φ = 2078765544960.

The previous prime is 2121120331273. The next prime is 2121120331391. The reversal of 2121120331331 is 1331330211212.

It is a cyclic number.

It is not a de Polignac number, because 2121120331331 - 2²⁶ = 2121053222467 is a prime.

It is a super-2 number, since 2×2121120331331² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2121120331297 and 2121120331306.

It is not an unprimeable number, because it can be changed into a prime (2121120331391) 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, 201411536 + ... + 201422066.

It is an arithmetic number, because the mean of its divisors is an integer number (135222902010).

Almost surely, 2^{2121120331331} is an apocalyptic number.

2121120331331 is a deficient number, since it is larger than the sum of its proper divisors (42446100829).

2121120331331 is a wasteful number, since it uses less digits than its factorization.

2121120331331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14486.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 2121120331331 its reverse (1331330211212), we get a palindrome (3452450542543).

The spelling of 2121120331331 in words is "two trillion, one hundred twenty-one billion, one hundred twenty million, three hundred thirty-one thousand, three hundred thirty-one".