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122201102281 is a prime number
BaseRepresentation
bin111000111001111000…
…0001101011111001001
3102200102101221012012011
41301303300031133021
54000231440233111
6132045521415521
711554154142136
oct1616360153711
9380371835164
10122201102281
1147909377915
121b824a9a5a1
13b6a621365b
145cb37cd58d
1532a333e021
hex1c73c0d7c9

122201102281 has 2 divisors, whose sum is σ = 122201102282. Its totient is φ = 122201102280.

The previous prime is 122201102263. The next prime is 122201102327. The reversal of 122201102281 is 182201102221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89389040400 + 32812061881 = 298980^2 + 181141^2 .

It is an emirp because it is prime and its reverse (182201102221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122201102281 - 215 = 122201069513 is a prime.

It is a super-2 number, since 2×1222011022812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122201102081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61100551140 + 61100551141.

It is an arithmetic number, because the mean of its divisors is an integer number (61100551141).

Almost surely, 2122201102281 is an apocalyptic number.

It is an amenable number.

122201102281 is a deficient number, since it is larger than the sum of its proper divisors (1).

122201102281 is an equidigital number, since it uses as much as digits as its factorization.

122201102281 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 256, while the sum is 22.

The spelling of 122201102281 in words is "one hundred twenty-two billion, two hundred one million, one hundred two thousand, two hundred eighty-one".