100010031002123 has 64 divisors (see below), whose sum is σ = 116369675136000. Its totient is φ = 84992943974400.

The previous prime is 100010031002083. The next prime is 100010031002131. The reversal of 100010031002123 is 321200130010001.

It is not a de Polignac number, because 100010031002123 - 2²⁴ = 100010014224907 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100010031002098 and 100010031002107.

It is not an unprimeable number, because it can be changed into a prime (100010031002143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27243264578 + ... + 27243268248.

It is an arithmetic number, because the mean of its divisors is an integer number (1818276174000).

Almost surely, 2^{100010031002123} is an apocalyptic number.

100010031002123 is a deficient number, since it is larger than the sum of its proper divisors (16359644133877).

100010031002123 is a wasteful number, since it uses less digits than its factorization.

100010031002123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6356.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100010031002123 its reverse (321200130010001), we get a palindrome (421210161012124).

The spelling of 100010031002123 in words is "one hundred trillion, ten billion, thirty-one million, two thousand, one hundred twenty-three".