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122102120093 is a prime number
BaseRepresentation
bin111000110110111011…
…0100111111010011101
3102200011111200101011012
41301231312213322131
54000031120320333
6132032024105005
711551542616262
oct1615566477235
9380144611135
10122102120093
1147868511058
121b7b7905165
13b68b868205
145ca45c5269
1532997dae48
hex1c6dda7e9d

122102120093 has 2 divisors, whose sum is σ = 122102120094. Its totient is φ = 122102120092.

The previous prime is 122102120051. The next prime is 122102120117. The reversal of 122102120093 is 390021201221.

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., 120921716644 + 1180403449 = 347738^2 + 34357^2 .

It is a cyclic number.

It is not a de Polignac number, because 122102120093 - 26 = 122102120029 is a prime.

It is a super-3 number, since 3×1221021200933 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122102120003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61051060046 + 61051060047.

It is an arithmetic number, because the mean of its divisors is an integer number (61051060047).

Almost surely, 2122102120093 is an apocalyptic number.

It is an amenable number.

122102120093 is a deficient number, since it is larger than the sum of its proper divisors (1).

122102120093 is an equidigital number, since it uses as much as digits as its factorization.

122102120093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 23.

The spelling of 122102120093 in words is "one hundred twenty-two billion, one hundred two million, one hundred twenty thousand, ninety-three".