111202101121121 has 2 divisors, whose sum is σ = 111202101121122. Its totient is φ = 111202101121120.

The previous prime is 111202101120949. The next prime is 111202101121157. The reversal of 111202101121121 is 121121101202111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92859511140496 + 18342589980625 = 9636364^2 + 4282825^2 .

It is a cyclic number.

It is not a de Polignac number, because 111202101121121 - 2¹⁴ = 111202101104737 is a prime.

It is a super-2 number, since 2×111202101121121² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 111202101121121.

It is not a weakly prime, because it can be changed into another prime (111202101121621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55601050560560 + 55601050560561.

It is an arithmetic number, because the mean of its divisors is an integer number (55601050560561).

Almost surely, 2^{111202101121121} is an apocalyptic number.

It is an amenable number.

111202101121121 is a deficient number, since it is larger than the sum of its proper divisors (1).

111202101121121 is an equidigital number, since it uses as much as digits as its factorization.

111202101121121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 111202101121121 its reverse (121121101202111), we get a palindrome (232323202323232).

The spelling of 111202101121121 in words is "one hundred eleven trillion, two hundred two billion, one hundred one million, one hundred twenty-one thousand, one hundred twenty-one".