121221101137 has 2 divisors, whose sum is σ = 121221101138. Its totient is φ = 121221101136.

The previous prime is 121221101087. The next prime is 121221101173. The reversal of 121221101137 is 731101122121.

Together with next prime (121221101173) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119860671681 + 1360429456 = 346209^2 + 36884^2 .

It is a cyclic number.

It is not a de Polignac number, because 121221101137 - 2²⁷ = 121086883409 is a prime.

It is a super-3 number, since 3×121221101137³ (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (121221101237) 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, 60610550568 + 60610550569.

It is an arithmetic number, because the mean of its divisors is an integer number (60610550569).

Almost surely, 2^121221101137 is an apocalyptic number.

It is an amenable number.

121221101137 is a deficient number, since it is larger than the sum of its proper divisors (1).

121221101137 is an equidigital number, since it uses as much as digits as its factorization.

121221101137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 22.

Adding to 121221101137 its reverse (731101122121), we get a palindrome (852322223258).

The spelling of 121221101137 in words is "one hundred twenty-one billion, two hundred twenty-one million, one hundred one thousand, one hundred thirty-seven".