111211110211121 has 8 divisors (see below), whose sum is σ = 115778753002920. Its totient is φ = 106692319214208.

The previous prime is 111211110211109. The next prime is 111211110211153. The reversal of 111211110211121 is 121112011112111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 45823396096 + 111165286815025 = 214064^2 + 10543495^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111211110211121 is a prime.

It is a super-2 number, since 2×111211110211121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 111211110211121.

It is not an unprimeable number, because it can be changed into a prime (111211110211181) 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, 12212944076 + ... + 12212953181.

It is an arithmetic number, because the mean of its divisors is an integer number (14472344125365).

Almost surely, 2^{111211110211121} is an apocalyptic number.

It is an amenable number.

111211110211121 is a deficient number, since it is larger than the sum of its proper divisors (4567642791799).

111211110211121 is a wasteful number, since it uses less digits than its factorization.

111211110211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24425897443.

The product of its (nonzero) digits is 8, while the sum is 17.

Adding to 111211110211121 its reverse (121112011112111), we get a palindrome (232323121323232).

The spelling of 111211110211121 in words is "one hundred eleven trillion, two hundred eleven billion, one hundred ten million, two hundred eleven thousand, one hundred twenty-one".