10120122331 has 32 divisors (see below), whose sum is σ = 11336149440. Its totient is φ = 8957952000.

The previous prime is 10120122319. The next prime is 10120122343. The reversal of 10120122331 is 13322102101.

It is an interprime number because it is at equal distance from previous prime (10120122319) and next prime (10120122343).

It is a 15-Lehmer number, since φ(10120122331) divides (10120122331-1)¹⁵.

It is a cyclic number.

It is not a de Polignac number, because 10120122331 - 2⁹ = 10120121819 is a prime.

It is a super-2 number, since 2×10120122331² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10120122731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23371891 + ... + 23372323.

It is an arithmetic number, because the mean of its divisors is an integer number (354254670).

Almost surely, 2^10120122331 is an apocalyptic number.

10120122331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10120122331 is a deficient number, since it is larger than the sum of its proper divisors (1216027109).

10120122331 is a wasteful number, since it uses less digits than its factorization.

10120122331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10120122331 its reverse (13322102101), we get a palindrome (23442224432).

The spelling of 10120122331 in words is "ten billion, one hundred twenty million, one hundred twenty-two thousand, three hundred thirty-one".