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222102221011001 is a prime number
BaseRepresentation
bin110010100000000000110011…
…111111001011100000111001
31002010101202122122210210202122
4302200000303333023200321
5213102410322034323001
62104212203551411025
764532233041161642
oct6240006377134071
91063352578723678
10222102221011001
1164850028627751
1220ab0a94523a75
1396c11c37c36b6
143cbbb3a73c6c9
151aa25c6109b1b
hexca0033fcb839

222102221011001 has 2 divisors, whose sum is σ = 222102221011002. Its totient is φ = 222102221011000.

The previous prime is 222102221010991. The next prime is 222102221011031. The reversal of 222102221011001 is 100110122201222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 204711853140025 + 17390367870976 = 14307755^2 + 4170176^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-222102221011001 is a prime.

It is a super-3 number, since 3×2221022210110013 (a number of 44 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (222102221011031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111051110505500 + 111051110505501.

It is an arithmetic number, because the mean of its divisors is an integer number (111051110505501).

Almost surely, 2222102221011001 is an apocalyptic number.

It is an amenable number.

222102221011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

222102221011001 is an equidigital number, since it uses as much as digits as its factorization.

222102221011001 is an evil number, because the sum of its binary digits is even.

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

Adding to 222102221011001 its reverse (100110122201222), we get a palindrome (322212343212223).

The spelling of 222102221011001 in words is "two hundred twenty-two trillion, one hundred two billion, two hundred twenty-one million, eleven thousand, one".