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122102010113 is a prime number
BaseRepresentation
bin111000110110111011…
…0001101000100000001
3102200011111110210021212
41301231312031010001
54000031103310423
6132032021455505
711551541650526
oct1615566150401
9380144423255
10122102010113
1147868446466
121b7b7871595
13b68b82a135
145ca459714d
1532997b8578
hex1c6dd8d101

122102010113 has 2 divisors, whose sum is σ = 122102010114. Its totient is φ = 122102010112.

The previous prime is 122102010101. The next prime is 122102010143. The reversal of 122102010113 is 311010201221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 114769855729 + 7332154384 = 338777^2 + 85628^2 .

It is a cyclic number.

It is not a de Polignac number, because 122102010113 - 24 = 122102010097 is a prime.

It is not a weakly prime, because it can be changed into another prime (122102010143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61051005056 + 61051005057.

It is an arithmetic number, because the mean of its divisors is an integer number (61051005057).

Almost surely, 2122102010113 is an apocalyptic number.

It is an amenable number.

122102010113 is a deficient number, since it is larger than the sum of its proper divisors (1).

122102010113 is an equidigital number, since it uses as much as digits as its factorization.

122102010113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 122102010113 its reverse (311010201221), we get a palindrome (433112211334).

The spelling of 122102010113 in words is "one hundred twenty-two billion, one hundred two million, ten thousand, one hundred thirteen".