10113122232101 has 16 divisors (see below), whose sum is σ = 11568059826048. Its totient is φ = 8660739494400.

The previous prime is 10113122232077. The next prime is 10113122232119. The reversal of 10113122232101 is 10123222131101.

It is not a de Polignac number, because 10113122232101 - 2¹⁰ = 10113122231077 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 (10113122232181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36197021 + ... + 36475341.

It is an arithmetic number, because the mean of its divisors is an integer number (723003739128).

Almost surely, 2^{10113122232101} is an apocalyptic number.

It is an amenable number.

10113122232101 is a deficient number, since it is larger than the sum of its proper divisors (1454937593947).

10113122232101 is a wasteful number, since it uses less digits than its factorization.

10113122232101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282892.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 10113122232101 its reverse (10123222131101), we get a palindrome (20236344363202).

The spelling of 10113122232101 in words is "ten trillion, one hundred thirteen billion, one hundred twenty-two million, two hundred thirty-two thousand, one hundred one".