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122203134122101 is a prime number
BaseRepresentation
bin11011110010010010100010…
…011001100101100001110101
3121000200111122112022110200021
4123302102202121211201311
5112004134004313401401
61111523202251045141
734511612404221364
oct3362224231454165
9530614575273607
10122203134122101
1135a3507042354a
12118579524407b1
1353259243c4516
14222693dd5b7db
15e1dbb5ce12a1
hex6f24a2665875

122203134122101 has 2 divisors, whose sum is σ = 122203134122102. Its totient is φ = 122203134122100.

The previous prime is 122203134122099. The next prime is 122203134122107. The reversal of 122203134122101 is 101221431302221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 122061286978225 + 141847143876 = 11048135^2 + 376626^2 .

It is a cyclic number.

It is not a de Polignac number, because 122203134122101 - 21 = 122203134122099 is a prime.

Together with 122203134122099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122203134122107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61101567061050 + 61101567061051.

It is an arithmetic number, because the mean of its divisors is an integer number (61101567061051).

Almost surely, 2122203134122101 is an apocalyptic number.

It is an amenable number.

122203134122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122203134122101 is an equidigital number, since it uses as much as digits as its factorization.

122203134122101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 122203134122101 its reverse (101221431302221), we get a palindrome (223424565424322).

The spelling of 122203134122101 in words is "one hundred twenty-two trillion, two hundred three billion, one hundred thirty-four million, one hundred twenty-two thousand, one hundred one".