111212120120137 has 2 divisors, whose sum is σ = 111212120120138. Its totient is φ = 111212120120136.

The previous prime is 111212120120119. The next prime is 111212120120149. The reversal of 111212120120137 is 731021021212111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110656492996921 + 555627123216 = 10519339^2 + 745404^2 .

It is a cyclic number.

It is not a de Polignac number, because 111212120120137 - 2⁴³ = 102416027097929 is a prime.

It is not a weakly prime, because it can be changed into another prime (111218120120137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55606060060068 + 55606060060069.

It is an arithmetic number, because the mean of its divisors is an integer number (55606060060069).

Almost surely, 2^{111212120120137} is an apocalyptic number.

It is an amenable number.

111212120120137 is a deficient number, since it is larger than the sum of its proper divisors (1).

111212120120137 is an equidigital number, since it uses as much as digits as its factorization.

111212120120137 is an odious number, because the sum of its binary digits is odd.

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

Adding to 111212120120137 its reverse (731021021212111), we get a palindrome (842233141332248).

The spelling of 111212120120137 in words is "one hundred eleven trillion, two hundred twelve billion, one hundred twenty million, one hundred twenty thousand, one hundred thirty-seven".