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122021012101117 is a prime number
BaseRepresentation
bin11011101111101000111011…
…000101001101011111111101
3121000001002120010121012212211
4123233220323011031133331
5111443143013044213432
61111303402404100421
734462504300460233
oct3357507305153775
9530032503535784
10122021012101117
1135974903282618
12118285a6094711
1353116bbc51b6c
14221bbc43c2953
15e190a7170d47
hex6efa3b14d7fd

122021012101117 has 2 divisors, whose sum is σ = 122021012101118. Its totient is φ = 122021012101116.

The previous prime is 122021012101099. The next prime is 122021012101159. The reversal of 122021012101117 is 711101210120221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121820026658521 + 200985442596 = 11037211^2 + 448314^2 .

It is a cyclic number.

It is not a de Polignac number, because 122021012101117 - 235 = 121986652362749 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122028012101117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61010506050558 + 61010506050559.

It is an arithmetic number, because the mean of its divisors is an integer number (61010506050559).

Almost surely, 2122021012101117 is an apocalyptic number.

It is an amenable number.

122021012101117 is a deficient number, since it is larger than the sum of its proper divisors (1).

122021012101117 is an equidigital number, since it uses as much as digits as its factorization.

122021012101117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 22.

Adding to 122021012101117 its reverse (711101210120221), we get a palindrome (833122222221338).

The spelling of 122021012101117 in words is "one hundred twenty-two trillion, twenty-one billion, twelve million, one hundred one thousand, one hundred seventeen".