111311322122121 has 48 divisors (see below), whose sum is σ = 178302001135104. Its totient is φ = 61444924992000.

The previous prime is 111311322122009. The next prime is 111311322122129. The reversal of 111311322122121 is 121221223113111.

111311322122121 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 111311322122121 - 2²¹ = 111311320024969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111311322122091 and 111311322122100.

It is not an unprimeable number, because it can be changed into a prime (111311322122129) 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, 290741110 + ... + 291123711.

It is an arithmetic number, because the mean of its divisors is an integer number (3714625023648).

Almost surely, 2^{111311322122121} is an apocalyptic number.

111311322122121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111311322122121 is a deficient number, since it is larger than the sum of its proper divisors (66990679012983).

111311322122121 is a wasteful number, since it uses less digits than its factorization.

111311322122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581864894 (or 581864883 counting only the distinct ones).

The product of its digits is 288, while the sum is 24.

Adding to 111311322122121 its reverse (121221223113111), we get a palindrome (232532545235232).

The spelling of 111311322122121 in words is "one hundred eleven trillion, three hundred eleven billion, three hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty-one".