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221102110022201 is a prime number
BaseRepresentation
bin110010010001011101011000…
…101110100001101000111001
31001222212011012012112120021022
4302101131120232201220321
5212440014110131202301
62102124523534152225
764400046255062252
oct6221353056415071
91058764165476238
10221102110022201
11644a4972a95281
122096b0a1352675
13964aabb537715
143c85583683b29
151a8658ec6cd1b
hexc91758ba1a39

221102110022201 has 2 divisors, whose sum is σ = 221102110022202. Its totient is φ = 221102110022200.

The previous prime is 221102110022177. The next prime is 221102110022231. The reversal of 221102110022201 is 102220011201122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 177036729415225 + 44065380606976 = 13305515^2 + 6638176^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221102110022201 is a prime.

It is a super-2 number, since 2×2211021100222012 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 221102110022201.

It is not a weakly prime, because it can be changed into another prime (221102110022231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110551055011100 + 110551055011101.

It is an arithmetic number, because the mean of its divisors is an integer number (110551055011101).

Almost surely, 2221102110022201 is an apocalyptic number.

It is an amenable number.

221102110022201 is a deficient number, since it is larger than the sum of its proper divisors (1).

221102110022201 is an equidigital number, since it uses as much as digits as its factorization.

221102110022201 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 221102110022201 its reverse (102220011201122), we get a palindrome (323322121223323).

The spelling of 221102110022201 in words is "two hundred twenty-one trillion, one hundred two billion, one hundred ten million, twenty-two thousand, two hundred one".