102001103102113 has 4 divisors (see below), whose sum is σ = 102146611095828. Its totient is φ = 101855595108400.

The previous prime is 102001103102039. The next prime is 102001103102123. The reversal of 102001103102113 is 311201301100201.

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 60097969234944 + 41903133867169 = 7752288^2 + 6473263^2 .

It is a cyclic number.

It is not a de Polignac number, because 102001103102113 - 2²¹ = 102001101004961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102001103102123) 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, 72753995806 + ... + 72753997207.

It is an arithmetic number, because the mean of its divisors is an integer number (25536652773957).

Almost surely, 2^{102001103102113} is an apocalyptic number.

It is an amenable number.

102001103102113 is a deficient number, since it is larger than the sum of its proper divisors (145507993715).

102001103102113 is an equidigital number, since it uses as much as digits as its factorization.

102001103102113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145507993714.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 102001103102113 its reverse (311201301100201), we get a palindrome (413202404202314).

The spelling of 102001103102113 in words is "one hundred two trillion, one billion, one hundred three million, one hundred two thousand, one hundred thirteen".