10000101123 has 48 divisors (see below), whose sum is σ = 15033807360. Its totient is φ = 6401446848.

The previous prime is 10000101119. The next prime is 10000101149. The reversal of 10000101123 is 32110100001.

It is not a de Polignac number, because 10000101123 - 2² = 10000101119 is a prime.

It is a super-2 number, since 2×10000101123² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10000101103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4932436 + ... + 4934462.

It is an arithmetic number, because the mean of its divisors is an integer number (313204320).

Almost surely, 2^10000101123 is an apocalyptic number.

10000101123 is a deficient number, since it is larger than the sum of its proper divisors (5033706237).

10000101123 is a wasteful number, since it uses less digits than its factorization.

10000101123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296 (or 2293 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10000101123 its reverse (32110100001), we get a palindrome (42110201124).

The spelling of 10000101123 in words is "ten billion, one hundred one thousand, one hundred twenty-three".