101123134004003 has 32 divisors (see below), whose sum is σ = 107737106400000. Its totient is φ = 94643456019840.

The previous prime is 101123134003993. The next prime is 101123134004029. The reversal of 101123134004003 is 300400431321101.

It is not a de Polignac number, because 101123134004003 - 2²⁸ = 101122865568547 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101123134004003.

It is not an unprimeable number, because it can be changed into a prime (101123134004603) 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, 2352828368 + ... + 2352871346.

It is an arithmetic number, because the mean of its divisors is an integer number (3366784575000).

Almost surely, 2^{101123134004003} is an apocalyptic number.

101123134004003 is a deficient number, since it is larger than the sum of its proper divisors (6613972395997).

101123134004003 is a wasteful number, since it uses less digits than its factorization.

101123134004003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46275.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 101123134004003 its reverse (300400431321101), we get a palindrome (401523565325104).

The spelling of 101123134004003 in words is "one hundred one trillion, one hundred twenty-three billion, one hundred thirty-four million, four thousand, three".