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122102120117 is a prime number
BaseRepresentation
bin111000110110111011…
…0100111111010110101
3102200011111200101012002
41301231312213322311
54000031120320432
6132032024105045
711551542616325
oct1615566477265
9380144611162
10122102120117
114786851107a
121b7b7905185
13b68b868223
145ca45c5285
1532997dae62
hex1c6dda7eb5

122102120117 has 2 divisors, whose sum is σ = 122102120118. Its totient is φ = 122102120116.

The previous prime is 122102120093. The next prime is 122102120149. The reversal of 122102120117 is 711021201221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121721440996 + 380679121 = 348886^2 + 19511^2 .

It is a cyclic number.

It is not a de Polignac number, because 122102120117 - 214 = 122102103733 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122102120167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61051060058 + 61051060059.

It is an arithmetic number, because the mean of its divisors is an integer number (61051060059).

Almost surely, 2122102120117 is an apocalyptic number.

It is an amenable number.

122102120117 is a deficient number, since it is larger than the sum of its proper divisors (1).

122102120117 is an equidigital number, since it uses as much as digits as its factorization.

122102120117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 122102120117 its reverse (711021201221), we get a palindrome (833123321338).

The spelling of 122102120117 in words is "one hundred twenty-two billion, one hundred two million, one hundred twenty thousand, one hundred seventeen".