111122001212137 has 2 divisors, whose sum is σ = 111122001212138. Its totient is φ = 111122001212136.

The previous prime is 111122001212071. The next prime is 111122001212141. The reversal of 111122001212137 is 731212100221111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57493563167401 + 53628438044736 = 7582451^2 + 7323144^2 .

It is a cyclic number.

It is not a de Polignac number, because 111122001212137 - 2⁷ = 111122001212009 is a prime.

It is a super-3 number, since 3×111122001212137³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (111122001213137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55561000606068 + 55561000606069.

It is an arithmetic number, because the mean of its divisors is an integer number (55561000606069).

Almost surely, 2^{111122001212137} is an apocalyptic number.

It is an amenable number.

111122001212137 is a deficient number, since it is larger than the sum of its proper divisors (1).

111122001212137 is an equidigital number, since it uses as much as digits as its factorization.

111122001212137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 336, while the sum is 25.

Adding to 111122001212137 its reverse (731212100221111), we get a palindrome (842334101433248).

The spelling of 111122001212137 in words is "one hundred eleven trillion, one hundred twenty-two billion, one million, two hundred twelve thousand, one hundred thirty-seven".