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122102200013 is a prime number
BaseRepresentation
bin111000110110111011…
…0111011011011001101
3102200011111211102210012
41301231312323123031
54000031130400023
6132032025523005
711551543401263
oct1615566733315
9380144742705
10122102200013
1147868566102
121b7b7943465
13b68b8956c1
145ca4606433
153299804978
hex1c6ddbb6cd

122102200013 has 2 divisors, whose sum is σ = 122102200014. Its totient is φ = 122102200012.

The previous prime is 122102200007. The next prime is 122102200037. The reversal of 122102200013 is 310002201221.

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., 84148146889 + 37954053124 = 290083^2 + 194818^2 .

It is a cyclic number.

It is not a de Polignac number, because 122102200013 - 24 = 122102199997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122102200043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61051100006 + 61051100007.

It is an arithmetic number, because the mean of its divisors is an integer number (61051100007).

Almost surely, 2122102200013 is an apocalyptic number.

It is an amenable number.

122102200013 is a deficient number, since it is larger than the sum of its proper divisors (1).

122102200013 is an equidigital number, since it uses as much as digits as its factorization.

122102200013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 122102200013 its reverse (310002201221), we get a palindrome (432104401234).

The spelling of 122102200013 in words is "one hundred twenty-two billion, one hundred two million, two hundred thousand, thirteen".