111101111002121 has 16 divisors (see below), whose sum is σ = 118871363107728. Its totient is φ = 103469292288000.

The previous prime is 111101111002117. The next prime is 111101111002139. The reversal of 111101111002121 is 121200111101111.

It can be written as a sum of positive squares in 8 ways, for example, as 50625914505721 + 60475196496400 = 7115189^2 + 7776580^2 .

It is a cyclic number.

It is not a de Polignac number, because 111101111002121 - 2² = 111101111002117 is a prime.

It is a super-2 number, since 2×111101111002121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111101111002096 and 111101111002105.

It is not an unprimeable number, because it can be changed into a prime (111101111002111) 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, 16203140 + ... + 22016901.

It is an arithmetic number, because the mean of its divisors is an integer number (7429460194233).

Almost surely, 2^{111101111002121} is an apocalyptic number.

It is an amenable number.

111101111002121 is a deficient number, since it is larger than the sum of its proper divisors (7770252105607).

111101111002121 is a wasteful number, since it uses less digits than its factorization.

111101111002121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38221852.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 111101111002121 its reverse (121200111101111), we get a palindrome (232301222103232).

The spelling of 111101111002121 in words is "one hundred eleven trillion, one hundred one billion, one hundred eleven million, two thousand, one hundred twenty-one".