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122102010101 is a prime number
BaseRepresentation
bin111000110110111011…
…0001101000011110101
3102200011111110210021102
41301231312031003311
54000031103310401
6132032021455445
711551541650511
oct1615566150365
9380144423242
10122102010101
1147868446455
121b7b7871585
13b68b82a126
145ca4597141
1532997b856b
hex1c6dd8d0f5

122102010101 has 2 divisors, whose sum is σ = 122102010102. Its totient is φ = 122102010100.

The previous prime is 122102010097. The next prime is 122102010113. The reversal of 122102010101 is 101010201221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121253686225 + 848323876 = 348215^2 + 29126^2 .

It is a cyclic number.

It is not a de Polignac number, because 122102010101 - 22 = 122102010097 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122102012101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61051005050 + 61051005051.

It is an arithmetic number, because the mean of its divisors is an integer number (61051005051).

Almost surely, 2122102010101 is an apocalyptic number.

It is an amenable number.

122102010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122102010101 is an equidigital number, since it uses as much as digits as its factorization.

122102010101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 122102010101 its reverse (101010201221), we get a palindrome (223112211322).

The spelling of 122102010101 in words is "one hundred twenty-two billion, one hundred two million, ten thousand, one hundred one".