101123303321101 has 8 divisors (see below), whose sum is σ = 105522660293184. Its totient is φ = 96724170649920.

The previous prime is 101123303321099. The next prime is 101123303321107.

101123303321101 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101123303321101 - 2¹ = 101123303321099 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 (101123303321107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55153615 + ... + 56957596.

It is an arithmetic number, because the mean of its divisors is an integer number (13190332536648).

Almost surely, 2^{101123303321101} is an apocalyptic number.

It is an amenable number.

101123303321101 is a deficient number, since it is larger than the sum of its proper divisors (4399356972083).

101123303321101 is a wasteful number, since it uses less digits than its factorization.

101123303321101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112150451.

The product of its (nonzero) digits is 324, while the sum is 22.

It can be divided in two parts, 10112330 and 3321101, that added together give a palindrome (13433431).

The spelling of 101123303321101 in words is "one hundred one trillion, one hundred twenty-three billion, three hundred three million, three hundred twenty-one thousand, one hundred one".