10100000002001 has 16 divisors (see below), whose sum is σ = 12431843351424. Its totient is φ = 7990518288384.

The previous prime is 10100000001967. The next prime is 10100000002013. The reversal of 10100000002001 is 10020000000101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10100000002001 - 2⁶ = 10100000001937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10100000002051) 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, 3734960 + ... + 5843793.

It is an arithmetic number, because the mean of its divisors is an integer number (776990209464).

Almost surely, 2^{10100000002001} is an apocalyptic number.

It is an amenable number.

10100000002001 is a deficient number, since it is larger than the sum of its proper divisors (2331843349423).

10100000002001 is a wasteful number, since it uses less digits than its factorization.

10100000002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9590360.

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 10100000002001 its reverse (10020000000101), we get a palindrome (20120000002102).

The spelling of 10100000002001 in words is "ten trillion, one hundred billion, two thousand, one".