10100102023 has 16 divisors (see below), whose sum is σ = 11788352640. Its totient is φ = 8556040800.

The previous prime is 10100102009. The next prime is 10100102027. The reversal of 10100102023 is 32020100101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100102023 is a prime.

It is a super-3 number, since 3×10100102023³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100102027) 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, 383365 + ... + 408862.

It is an arithmetic number, because the mean of its divisors is an integer number (736772040).

Almost surely, 2^10100102023 is an apocalyptic number.

10100102023 is a deficient number, since it is larger than the sum of its proper divisors (1688250617).

10100102023 is a wasteful number, since it uses less digits than its factorization.

10100102023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792318.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10100102023 its reverse (32020100101), we get a palindrome (42120202124).

The spelling of 10100102023 in words is "ten billion, one hundred million, one hundred two thousand, twenty-three".