10100001 has 16 divisors (see below), whose sum is σ = 14561600. Its totient is φ = 6205248.

The previous prime is 10099997. The next prime is 10100009. The reversal of 10100001 is 10000101.

It is not a de Polignac number, because 10100001 - 2² = 10099997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (3).

It is not an unprimeable number, because it can be changed into a prime (10100009) 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, 286 + ... + 4503.

It is an arithmetic number, because the mean of its divisors is an integer number (910100).

Almost surely, 2^10100001 is an apocalyptic number.

It is an amenable number.

10100001 is a deficient number, since it is larger than the sum of its proper divisors (4461599).

10100001 is a wasteful number, since it uses less digits than its factorization.

10100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4848.

The product of its (nonzero) digits is 1, while the sum is 3.

The square root of 10100001 is about 3178.0498737433. The cubic root of 10100001 is about 216.1592404285.

Adding to 10100001 its reverse (10000101), we get a palindrome (20100102).

Multiplying 10100001 by its reverse (10000101), we get a palindrome (101001030100101).

The spelling of 10100001 in words is "ten million, one hundred thousand, one".