10100031100123 has 32 divisors (see below), whose sum is σ = 11123598024000. Its totient is φ = 9133219307520.

The previous prime is 10100031100097. The next prime is 10100031100139. The reversal of 10100031100123 is 32100113000101.

It is a cyclic number.

It is not a de Polignac number, because 10100031100123 - 2⁵ = 10100031100091 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100031100153) 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, 400194661 + ... + 400219897.

It is an arithmetic number, because the mean of its divisors is an integer number (347612438250).

Almost surely, 2^{10100031100123} is an apocalyptic number.

10100031100123 is a deficient number, since it is larger than the sum of its proper divisors (1023566923877).

10100031100123 is a wasteful number, since it uses less digits than its factorization.

10100031100123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33535.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10100031100123 its reverse (32100113000101), we get a palindrome (42200144100224).

The spelling of 10100031100123 in words is "ten trillion, one hundred billion, thirty-one million, one hundred thousand, one hundred twenty-three".