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122011102202113 is a prime number
BaseRepresentation
bin11011101111011111101100…
…011001111100100100000001
3121000000010222111101012002101
4123233133230121330210001
5111443012214130431423
61111255043200350401
734462003565641345
oct3357375431744401
9530003874335071
10122011102202113
1135970688408843
121182669b315401
13531079cb205b7
14221b5241d5625
15e18bc715e7ad
hex6ef7ec67c901

122011102202113 has 2 divisors, whose sum is σ = 122011102202114. Its totient is φ = 122011102202112.

The previous prime is 122011102202111. The next prime is 122011102202159. The reversal of 122011102202113 is 311202201110221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 117973224956304 + 4037877245809 = 10861548^2 + 2009447^2 .

It is a cyclic number.

It is not a de Polignac number, because 122011102202113 - 21 = 122011102202111 is a prime.

Together with 122011102202111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (122011102202111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61005551101056 + 61005551101057.

It is an arithmetic number, because the mean of its divisors is an integer number (61005551101057).

Almost surely, 2122011102202113 is an apocalyptic number.

It is an amenable number.

122011102202113 is a deficient number, since it is larger than the sum of its proper divisors (1).

122011102202113 is an equidigital number, since it uses as much as digits as its factorization.

122011102202113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 122011102202113 its reverse (311202201110221), we get a palindrome (433213303312334).

The spelling of 122011102202113 in words is "one hundred twenty-two trillion, eleven billion, one hundred two million, two hundred two thousand, one hundred thirteen".