2121313001120 has 24 divisors (see below), whose sum is σ = 5011601965524. Its totient is φ = 848525200384.

The previous prime is 2121313001117. The next prime is 2121313001123. The reversal of 2121313001120 is 211003131212.

It is an interprime number because it is at equal distance from previous prime (2121313001117) and next prime (2121313001123).

It can be written as a sum of positive squares in 2 ways, for example, as 2017115743504 + 104197257616 = 1420252^2 + 322796^2 .

It is a super-2 number, since 2×2121313001120² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2121313001123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6629102969 + ... + 6629103288.

Almost surely, 2^{2121313001120} is an apocalyptic number.

2121313001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121313001120 is an abundant number, since it is smaller than the sum of its proper divisors (2890288964404).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2121313001120 is a wasteful number, since it uses less digits than its factorization.

2121313001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13258206272 (or 13258206264 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 2121313001120 its reverse (211003131212), we get a palindrome (2332316132332).

The spelling of 2121313001120 in words is "two trillion, one hundred twenty-one billion, three hundred thirteen million, one thousand, one hundred twenty".