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2222120100401 is a prime number
BaseRepresentation
bin100000010101100000101…
…011011110001000110001
321212102200101000001201022
4200111200223132020301
5242401400221203101
64420454453345225
7316354131130505
oct40254053361061
97772611001638
102222120100401
117874399588a3
122ba7b3638215
13131711566046
14797a0656305
153cc083a5a1b
hex20560ade231

2222120100401 has 2 divisors, whose sum is σ = 2222120100402. Its totient is φ = 2222120100400.

The previous prime is 2222120100397. The next prime is 2222120100437. The reversal of 2222120100401 is 1040010212222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1886230306801 + 335889793600 = 1373401^2 + 579560^2 .

It is a cyclic number.

It is not a de Polignac number, because 2222120100401 - 22 = 2222120100397 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2222120100401.

It is not a weakly prime, because it can be changed into another prime (2222120100491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1111060050200 + 1111060050201.

It is an arithmetic number, because the mean of its divisors is an integer number (1111060050201).

Almost surely, 22222120100401 is an apocalyptic number.

It is an amenable number.

2222120100401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2222120100401 is an equidigital number, since it uses as much as digits as its factorization.

2222120100401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2222120100401 its reverse (1040010212222), we get a palindrome (3262130312623).

The spelling of 2222120100401 in words is "two trillion, two hundred twenty-two billion, one hundred twenty million, one hundred thousand, four hundred one".