12100122111331 has 8 divisors (see below), whose sum is σ = 12109558266144. Its totient is φ = 12090688790400.

The previous prime is 12100122111293. The next prime is 12100122111463. The reversal of 12100122111331 is 13311122100121.

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 12100122111331 - 2¹⁵ = 12100122078563 is a prime.

It is a super-2 number, since 2×12100122111331² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12100122111299 and 12100122111308.

It is not an unprimeable number, because it can be changed into a prime (12100122181331) 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 7 ways as a sum of consecutive naturals, for example, 7874955 + ... + 9285211.

It is an arithmetic number, because the mean of its divisors is an integer number (1513694783268).

Almost surely, 2^{12100122111331} is an apocalyptic number.

12100122111331 is a deficient number, since it is larger than the sum of its proper divisors (9436154813).

12100122111331 is a wasteful number, since it uses less digits than its factorization.

12100122111331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416941.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 12100122111331 its reverse (13311122100121), we get a palindrome (25411244211452).

The spelling of 12100122111331 in words is "twelve trillion, one hundred billion, one hundred twenty-two million, one hundred eleven thousand, three hundred thirty-one".