10004102101 has 48 divisors (see below), whose sum is σ = 12226636800. Its totient is φ = 8152220160.

The previous prime is 10004102089. The next prime is 10004102117. The reversal of 10004102101 is 10120140001.

It is not a de Polignac number, because 10004102101 - 2²⁵ = 9970547669 is a prime.

It is a super-2 number, since 2×10004102101² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004102161) 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, 28664875 + ... + 28665223.

It is an arithmetic number, because the mean of its divisors is an integer number (254721600).

Almost surely, 2^10004102101 is an apocalyptic number.

It is an amenable number.

10004102101 is a deficient number, since it is larger than the sum of its proper divisors (2222534699).

10004102101 is a wasteful number, since it uses less digits than its factorization.

10004102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10004102101 its reverse (10120140001), we get a palindrome (20124242102).

The spelling of 10004102101 in words is "ten billion, four million, one hundred two thousand, one hundred one".