10002122120331 has 48 divisors (see below), whose sum is σ = 16487191498752. Its totient is φ = 5783871456000.

The previous prime is 10002122120297. The next prime is 10002122120339. The reversal of 10002122120331 is 13302122120001.

10002122120331 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 212 + 2 + 120 + 331 = 666.

It is not a de Polignac number, because 10002122120331 - 2¹⁰ = 10002122119307 is a prime.

It is a super-2 number, since 2×10002122120331² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10002122120339) 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 47 ways as a sum of consecutive naturals, for example, 4564075 + ... + 6390228.

It is an arithmetic number, because the mean of its divisors is an integer number (343483156224).

Almost surely, 2^{10002122120331} is an apocalyptic number.

10002122120331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10002122120331 is a deficient number, since it is larger than the sum of its proper divisors (6485069378421).

10002122120331 is a wasteful number, since it uses less digits than its factorization.

10002122120331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10954744 (or 10954741 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10002122120331 its reverse (13302122120001), we get a palindrome (23304244240332).

The spelling of 10002122120331 in words is "ten trillion, two billion, one hundred twenty-two million, one hundred twenty thousand, three hundred thirty-one".