111011122122121 has 32 divisors (see below), whose sum is σ = 123768705060000. Its totient is φ = 98861645352960.

The previous prime is 111011122122107. The next prime is 111011122122137. The reversal of 111011122122121 is 121221221110111.

It can be written as a sum of positive squares in 16 ways, for example, as 6222405525625 + 104788716596496 = 2494475^2 + 10236636^2 .

It is a cyclic number.

It is not a de Polignac number, because 111011122122121 - 2⁹ = 111011122121609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (111011122122101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5767101505 + ... + 5767120753.

It is an arithmetic number, because the mean of its divisors is an integer number (3867772033125).

Almost surely, 2^{111011122122121} is an apocalyptic number.

It is an amenable number.

111011122122121 is a deficient number, since it is larger than the sum of its proper divisors (12757582937879).

111011122122121 is a wasteful number, since it uses less digits than its factorization.

111011122122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30349.

The product of its (nonzero) digits is 32, while the sum is 19.

Adding to 111011122122121 its reverse (121221221110111), we get a palindrome (232232343232232).

The spelling of 111011122122121 in words is "one hundred eleven trillion, eleven billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty-one".