10122102111331 has 16 divisors (see below), whose sum is σ = 12023733047040. Its totient is φ = 8337211051680.

The previous prime is 10122102111311. The next prime is 10122102111377. The reversal of 10122102111331 is 13311120122101.

It is not a de Polignac number, because 10122102111331 - 2⁷ = 10122102111203 is a prime.

It is a super-2 number, since 2×10122102111331² (a number of 27 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 = 10122102111299 and 10122102111308.

It is not an unprimeable number, because it can be changed into a prime (10122102111311) 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 15 ways as a sum of consecutive naturals, for example, 118114921 + ... + 118200586.

It is an arithmetic number, because the mean of its divisors is an integer number (751483315440).

Almost surely, 2^{10122102111331} is an apocalyptic number.

10122102111331 is a deficient number, since it is larger than the sum of its proper divisors (1901630935709).

10122102111331 is a wasteful number, since it uses less digits than its factorization.

10122102111331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236315754.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 10122102111331 its reverse (13311120122101), we get a palindrome (23433222233432).

The spelling of 10122102111331 in words is "ten trillion, one hundred twenty-two billion, one hundred two million, one hundred eleven thousand, three hundred thirty-one".