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122102101013 is a prime number
BaseRepresentation
bin111000110110111011…
…0100011010000010101
3102200011111122101222112
41301231312203100111
54000031114213023
6132032023440405
711551542506534
oct1615566432025
9380144571875
10122102101013
11478684a8792
121b7b78b6105
13b68b85c619
145ca45bc31b
1532997d5478
hex1c6dda3415

122102101013 has 2 divisors, whose sum is σ = 122102101014. Its totient is φ = 122102101012.

The previous prime is 122102101001. The next prime is 122102101039. The reversal of 122102101013 is 310101201221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87354531364 + 34747569649 = 295558^2 + 186407^2 .

It is a cyclic number.

It is not a de Polignac number, because 122102101013 - 24 = 122102100997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122102100013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61051050506 + 61051050507.

It is an arithmetic number, because the mean of its divisors is an integer number (61051050507).

Almost surely, 2122102101013 is an apocalyptic number.

It is an amenable number.

122102101013 is a deficient number, since it is larger than the sum of its proper divisors (1).

122102101013 is an equidigital number, since it uses as much as digits as its factorization.

122102101013 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 122102101013 its reverse (310101201221), we get a palindrome (432203302234).

The spelling of 122102101013 in words is "one hundred twenty-two billion, one hundred two million, one hundred one thousand, thirteen".