10100001001001 has 4 divisors (see below), whose sum is σ = 10100058264912. Its totient is φ = 10099943737092.

The previous prime is 10100001000919. The next prime is 10100001001009. The reversal of 10100001001001 is 10010010000101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10100001001001 - 2³⁰ = 10098927259177 is a prime.

It is a Duffinian number.

10100001001001 is a modest number, since divided by 1001001 gives 10100 as remainder.

It is not an unprimeable number, because it can be changed into a prime (10100001001009) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28366571 + ... + 28720416.

It is an arithmetic number, because the mean of its divisors is an integer number (2525014566228).

Almost surely, 2^{10100001001001} is an apocalyptic number.

It is an amenable number.

10100001001001 is a deficient number, since it is larger than the sum of its proper divisors (57263911).

10100001001001 is an equidigital number, since it uses as much as digits as its factorization.

10100001001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57263910.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10100001001001 its reverse (10010010000101), we get a palindrome (20110011001102).

The spelling of 10100001001001 in words is "ten trillion, one hundred billion, one million, one thousand, one".