10122103101331 has 32 divisors (see below), whose sum is σ = 11175014285568. Its totient is φ = 9109913364480.

The previous prime is 10122103101277. The next prime is 10122103101337. The reversal of 10122103101331 is 13310130122101.

10122103101331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10122103101331 - 2⁹ = 10122103100819 is a prime.

It is a super-2 number, since 2×10122103101331² (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 = 10122103101299 and 10122103101308.

It is not an unprimeable number, because it can be changed into a prime (10122103101337) 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, 529361451 + ... + 529380571.

It is an arithmetic number, because the mean of its divisors is an integer number (349219196424).

Almost surely, 2^{10122103101331} is an apocalyptic number.

10122103101331 is a deficient number, since it is larger than the sum of its proper divisors (1052911184237).

10122103101331 is a wasteful number, since it uses less digits than its factorization.

10122103101331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22431.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 10122103101331 its reverse (13310130122101), we get a palindrome (23432233223432).

The spelling of 10122103101331 in words is "ten trillion, one hundred twenty-two billion, one hundred three million, one hundred one thousand, three hundred thirty-one".