10004200101 has 72 divisors (see below), whose sum is σ = 17139792384. Its totient is φ = 5605407360.

The previous prime is 10004200099. The next prime is 10004200111. The reversal of 10004200101 is 10100240001.

It is a happy number.

It is not a de Polignac number, because 10004200101 - 2¹ = 10004200099 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004200111) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6148050 + ... + 6149676.

It is an arithmetic number, because the mean of its divisors is an integer number (238052672).

Almost surely, 2^10004200101 is an apocalyptic number.

It is an amenable number.

10004200101 is a deficient number, since it is larger than the sum of its proper divisors (7135592283).

10004200101 is a wasteful number, since it uses less digits than its factorization.

10004200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1911 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10004200101 its reverse (10100240001), we get a palindrome (20104440102).

The spelling of 10004200101 in words is "ten billion, four million, two hundred thousand, one hundred one".