10122202312123 has 48 divisors (see below), whose sum is σ = 12296996728128. Its totient is φ = 8281278720000.

The previous prime is 10122202312111. The next prime is 10122202312133. The reversal of 10122202312123 is 32121320222101.

It is a de Polignac number, because none of the positive numbers 2^k-10122202312123 is a prime.

It is a super-2 number, since 2×10122202312123² (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 = 10122202312094 and 10122202312103.

It is not an unprimeable number, because it can be changed into a prime (10122202312133) 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, 141944665 + ... + 142015957.

It is an arithmetic number, because the mean of its divisors is an integer number (256187431836).

Almost surely, 2^{10122202312123} is an apocalyptic number.

10122202312123 is a deficient number, since it is larger than the sum of its proper divisors (2174794416005).

10122202312123 is a wasteful number, since it uses less digits than its factorization.

10122202312123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74356 (or 74345 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 10122202312123 its reverse (32121320222101), we get a palindrome (42243522534224).

The spelling of 10122202312123 in words is "ten trillion, one hundred twenty-two billion, two hundred two million, three hundred twelve thousand, one hundred twenty-three".