10100110102001 has 4 divisors (see below), whose sum is σ = 10100149361904. Its totient is φ = 10100070842100.

The previous prime is 10100110101953. The next prime is 10100110102003. The reversal of 10100110102001 is 10020101100101.

It is a happy number.

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 10100110102001 - 2³⁸ = 9825232195057 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10100110102001.

It is not an unprimeable number, because it can be changed into a prime (10100110102003) 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, 19241495 + ... + 19759436.

It is an arithmetic number, because the mean of its divisors is an integer number (2525037340476).

Almost surely, 2^{10100110102001} is an apocalyptic number.

It is an amenable number.

10100110102001 is a deficient number, since it is larger than the sum of its proper divisors (39259903).

10100110102001 is an equidigital number, since it uses as much as digits as its factorization.

10100110102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39259902.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10100110102001 its reverse (10020101100101), we get a palindrome (20120211202102).

The spelling of 10100110102001 in words is "ten trillion, one hundred billion, one hundred ten million, one hundred two thousand, one".