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122201101022201 is a prime number
BaseRepresentation
bin11011110010010000101001…
…001101111011001111111001
3121000200022101211200021220222
4123302100221031323033321
5112004120323330202301
61111522224422425425
734511511126160415
oct3362205115731771
9530608354607828
10122201101022201
1135a342178294a3
1211857485592275
13532568c12b226
1422267c9d27d45
15e1dae759131b
hex6f242937b3f9

122201101022201 has 2 divisors, whose sum is σ = 122201101022202. Its totient is φ = 122201101022200.

The previous prime is 122201101022197. The next prime is 122201101022237. The reversal of 122201101022201 is 102220101102221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102656390538601 + 19544710483600 = 10131949^2 + 4420940^2 .

It is a cyclic number.

It is not a de Polignac number, because 122201101022201 - 22 = 122201101022197 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122201101022201.

It is not a weakly prime, because it can be changed into another prime (122201101022501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61100550511100 + 61100550511101.

It is an arithmetic number, because the mean of its divisors is an integer number (61100550511101).

Almost surely, 2122201101022201 is an apocalyptic number.

It is an amenable number.

122201101022201 is a deficient number, since it is larger than the sum of its proper divisors (1).

122201101022201 is an equidigital number, since it uses as much as digits as its factorization.

122201101022201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122201101022201 its reverse (102220101102221), we get a palindrome (224421202124422).

The spelling of 122201101022201 in words is "one hundred twenty-two trillion, two hundred one billion, one hundred one million, twenty-two thousand, two hundred one".