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122201112220097 is a prime number
BaseRepresentation
bin11011110010010000101001…
…111000101001000111000001
3121000200022102121202012112212
4123302100221320221013001
5112004120334212020342
61111522225502431505
734511511323306351
oct3362205170510701
9530608377665485
10122201112220097
1135a34223087659
1211857489292595
13532569154c0c1
1422267cb600b61
15e1dae8554182
hex6f2429e291c1

122201112220097 has 2 divisors, whose sum is σ = 122201112220098. Its totient is φ = 122201112220096.

The previous prime is 122201112220091. The next prime is 122201112220147. The reversal of 122201112220097 is 790022211102221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71093497436416 + 51107614783681 = 8431696^2 + 7148959^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122201112220097 is a prime.

It is a super-2 number, since 2×1222011122200972 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122201112220091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61100556110048 + 61100556110049.

It is an arithmetic number, because the mean of its divisors is an integer number (61100556110049).

Almost surely, 2122201112220097 is an apocalyptic number.

It is an amenable number.

122201112220097 is a deficient number, since it is larger than the sum of its proper divisors (1).

122201112220097 is an equidigital number, since it uses as much as digits as its factorization.

122201112220097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 32.

The spelling of 122201112220097 in words is "one hundred twenty-two trillion, two hundred one billion, one hundred twelve million, two hundred twenty thousand, ninety-seven".