123312221201101 has 48 divisors (see below), whose sum is σ = 138505524272640. Its totient is φ = 109538106163200.

The previous prime is 123312221201093. The next prime is 123312221201129. The reversal of 123312221201101 is 101102122213321.

It is a happy number.

It is not a de Polignac number, because 123312221201101 - 2³ = 123312221201093 is a prime.

It is a super-3 number, since 3×123312221201101³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123312221201801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 840632575 + ... + 840779251.

It is an arithmetic number, because the mean of its divisors is an integer number (2885531755680).

Almost surely, 2^{123312221201101} is an apocalyptic number.

It is an amenable number.

123312221201101 is a deficient number, since it is larger than the sum of its proper divisors (15193303071539).

123312221201101 is a wasteful number, since it uses less digits than its factorization.

123312221201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148414 (or 148397 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 123312221201101 its reverse (101102122213321), we get a palindrome (224414343414422).

The spelling of 123312221201101 in words is "one hundred twenty-three trillion, three hundred twelve billion, two hundred twenty-one million, two hundred one thousand, one hundred one".