103310020100101 has 16 divisors (see below), whose sum is σ = 105610405478400. Its totient is φ = 101034720856368.

The previous prime is 103310020100099. The next prime is 103310020100129. The reversal of 103310020100101 is 101001020013301.

It is a cyclic number.

It is not a de Polignac number, because 103310020100101 - 2¹ = 103310020100099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103310020100801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59181340 + ... + 60901978.

It is an arithmetic number, because the mean of its divisors is an integer number (6600650342400).

Almost surely, 2^{103310020100101} is an apocalyptic number.

It is an amenable number.

103310020100101 is a deficient number, since it is larger than the sum of its proper divisors (2300385378299).

103310020100101 is a wasteful number, since it uses less digits than its factorization.

103310020100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727928.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 103310020100101 its reverse (101001020013301), we get a palindrome (204311040113402).

The spelling of 103310020100101 in words is "one hundred three trillion, three hundred ten billion, twenty million, one hundred thousand, one hundred one".