112121022012137 has 2 divisors, whose sum is σ = 112121022012138. Its totient is φ = 112121022012136.

The previous prime is 112121022012101. The next prime is 112121022012149. The reversal of 112121022012137 is 731210220121211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88174278493456 + 23946743518681 = 9390116^2 + 4893541^2 .

It is a cyclic number.

It is not a de Polignac number, because 112121022012137 - 2³⁰ = 112119948270313 is a prime.

It is a super-2 number, since 2×112121022012137² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (112121022012157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56060511006068 + 56060511006069.

It is an arithmetic number, because the mean of its divisors is an integer number (56060511006069).

Almost surely, 2^{112121022012137} is an apocalyptic number.

It is an amenable number.

112121022012137 is a deficient number, since it is larger than the sum of its proper divisors (1).

112121022012137 is an equidigital number, since it uses as much as digits as its factorization.

112121022012137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 672, while the sum is 26.

Adding to 112121022012137 its reverse (731210220121211), we get a palindrome (843331242133348).

The spelling of 112121022012137 in words is "one hundred twelve trillion, one hundred twenty-one billion, twenty-two million, twelve thousand, one hundred thirty-seven".