10100110011001 has 4 divisors (see below), whose sum is σ = 10100128882932. Its totient is φ = 10100091139072.

The previous prime is 10100110010983. The next prime is 10100110011023. The reversal of 10100110011001 is 10011001100101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 719611193401 + 9380498817600 = 848299^2 + 3062760^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100110011001 - 2²⁹ = 10099573140089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100110011091) 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, 8609020 + ... + 9711613.

It is an arithmetic number, because the mean of its divisors is an integer number (2525032220733).

Almost surely, 2^{10100110011001} is an apocalyptic number.

It is an amenable number.

10100110011001 is a deficient number, since it is larger than the sum of its proper divisors (18871931).

10100110011001 is an equidigital number, since it uses as much as digits as its factorization.

10100110011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18871930.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10100110011001 its reverse (10011001100101), we get a palindrome (20111111111102).

The spelling of 10100110011001 in words is "ten trillion, one hundred billion, one hundred ten million, eleven thousand, one".