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121022112137 is a prime number
BaseRepresentation
bin111000010110101111…
…0101110000110001001
3102120101020110021202112
41300231132232012021
53440323130042022
6131332523512105
711513016660113
oct1605536560611
9376336407675
10121022112137
11473639110a3
121b556088635
13b548b97154
145c00dac3b3
153234aa38e2
hex1c2d7ae189

121022112137 has 2 divisors, whose sum is σ = 121022112138. Its totient is φ = 121022112136.

The previous prime is 121022112067. The next prime is 121022112151. The reversal of 121022112137 is 731211220121.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 114832199161 + 6189912976 = 338869^2 + 78676^2 .

It is a cyclic number.

It is not a de Polignac number, because 121022112137 - 210 = 121022111113 is a prime.

It is a super-2 number, since 2×1210221121372 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (121022112737) 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, 60511056068 + 60511056069.

It is an arithmetic number, because the mean of its divisors is an integer number (60511056069).

Almost surely, 2121022112137 is an apocalyptic number.

It is an amenable number.

121022112137 is a deficient number, since it is larger than the sum of its proper divisors (1).

121022112137 is an equidigital number, since it uses as much as digits as its factorization.

121022112137 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 23.

Adding to 121022112137 its reverse (731211220121), we get a palindrome (852233332258).

The spelling of 121022112137 in words is "one hundred twenty-one billion, twenty-two million, one hundred twelve thousand, one hundred thirty-seven".