101123331322123 has 16 divisors (see below), whose sum is σ = 111983298777216. Its totient is φ = 90541687357440.

The previous prime is 101123331322087. The next prime is 101123331322127. The reversal of 101123331322123 is 321223133321101.

It is a de Polignac number, because none of the positive numbers 2^k-101123331322123 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101123331322091 and 101123331322100.

It is not an unprimeable number, because it can be changed into a prime (101123331322127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8471286 + ... + 16553227.

It is an arithmetic number, because the mean of its divisors is an integer number (6998956173576).

Almost surely, 2^{101123331322123} is an apocalyptic number.

101123331322123 is a deficient number, since it is larger than the sum of its proper divisors (10859967455093).

101123331322123 is a wasteful number, since it uses less digits than its factorization.

101123331322123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25030074.

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 101123331322123 its reverse (321223133321101), we get a palindrome (422346464643224).

The spelling of 101123331322123 in words is "one hundred one trillion, one hundred twenty-three billion, three hundred thirty-one million, three hundred twenty-two thousand, one hundred twenty-three".