10100004201 has 48 divisors (see below), whose sum is σ = 17144075520. Its totient is φ = 5610384000.

The previous prime is 10100004127. The next prime is 10100004227. The reversal of 10100004201 is 10240000101.

It is a happy number.

It is not a de Polignac number, because 10100004201 - 2¹³ = 10099996009 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (10100004601) 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, 350076 + ... + 377826.

It is an arithmetic number, because the mean of its divisors is an integer number (357168240).

Almost surely, 2^10100004201 is an apocalyptic number.

It is an amenable number.

10100004201 is a deficient number, since it is larger than the sum of its proper divisors (7044071319).

10100004201 is a wasteful number, since it uses less digits than its factorization.

10100004201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27926 (or 27923 counting only the distinct ones).

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

Adding to 10100004201 its reverse (10240000101), we get a palindrome (20340004302).

The spelling of 10100004201 in words is "ten billion, one hundred million, four thousand, two hundred one".