111010101121121 has 2 divisors, whose sum is σ = 111010101121122. Its totient is φ = 111010101121120.

The previous prime is 111010101121111. The next prime is 111010101121177. The reversal of 111010101121121 is 121121101010111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110660301030400 + 349800090721 = 10519520^2 + 591439^2 .

It is an emirp because it is prime and its reverse (121121101010111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111010101121121 - 2³⁰ = 111009027379297 is a prime.

It is a super-2 number, since 2×111010101121121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111010101121096 and 111010101121105.

It is not a weakly prime, because it can be changed into another prime (111010101121111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55505050560560 + 55505050560561.

It is an arithmetic number, because the mean of its divisors is an integer number (55505050560561).

Almost surely, 2^{111010101121121} is an apocalyptic number.

It is an amenable number.

111010101121121 is a deficient number, since it is larger than the sum of its proper divisors (1).

111010101121121 is an equidigital number, since it uses as much as digits as its factorization.

111010101121121 is an evil number, because the sum of its binary digits is even.

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

Adding to 111010101121121 its reverse (121121101010111), we get a palindrome (232131202131232).

The spelling of 111010101121121 in words is "one hundred eleven trillion, ten billion, one hundred one million, one hundred twenty-one thousand, one hundred twenty-one".