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122121199097 is a prime number
BaseRepresentation
bin111000110111011111…
…1011001110111111001
3102200012211120200121222
41301232333121313321
54000101011332342
6132033545041425
711552164031222
oct1615677316771
9380184520558
10122121199097
1147878262427
121b802186275
13b6927b8371
145ca6d50249
15329b308ed2
hex1c6efd9df9

122121199097 has 2 divisors, whose sum is σ = 122121199098. Its totient is φ = 122121199096.

The previous prime is 122121199069. The next prime is 122121199117. The reversal of 122121199097 is 790991121221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93132390976 + 28988808121 = 305176^2 + 170261^2 .

It is a cyclic number.

It is not a de Polignac number, because 122121199097 - 220 = 122120150521 is a prime.

It is a super-2 number, since 2×1221211990972 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122121199297) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61060599548 + 61060599549.

It is an arithmetic number, because the mean of its divisors is an integer number (61060599549).

Almost surely, 2122121199097 is an apocalyptic number.

It is an amenable number.

122121199097 is a deficient number, since it is larger than the sum of its proper divisors (1).

122121199097 is an equidigital number, since it uses as much as digits as its factorization.

122121199097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40824, while the sum is 44.

The spelling of 122121199097 in words is "one hundred twenty-two billion, one hundred twenty-one million, one hundred ninety-nine thousand, ninety-seven".