10100012001 has 32 divisors (see below), whose sum is σ = 15030374400. Its totient is φ = 5995296000.

The previous prime is 10100011993. The next prime is 10100012081. The reversal of 10100012001 is 10021000101.

It is not a de Polignac number, because 10100012001 - 2³ = 10100011993 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10100012081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 720780 + ... + 734658.

It is an arithmetic number, because the mean of its divisors is an integer number (469699200).

Almost surely, 2^10100012001 is an apocalyptic number.

It is an amenable number.

10100012001 is a deficient number, since it is larger than the sum of its proper divisors (4930362399).

10100012001 is a wasteful number, since it uses less digits than its factorization.

10100012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14669.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10100012001 its reverse (10021000101), we get a palindrome (20121012102).

The spelling of 10100012001 in words is "ten billion, one hundred million, twelve thousand, one".