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2111221220201 is a prime number
BaseRepresentation
bin11110101110001110100…
…101110100001101101001
321110211102122012020111222
4132232032211310031221
5234042240113021301
64253514233431425
7305350013164202
oct36561645641551
97424378166458
102111221220201
11744400380795
122a120386b575
13124119a75382
147427dd285a9
1539db740331b
hex1eb8e974369

2111221220201 has 2 divisors, whose sum is σ = 2111221220202. Its totient is φ = 2111221220200.

The previous prime is 2111221220167. The next prime is 2111221220219. The reversal of 2111221220201 is 1020221221112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2009941340176 + 101279880025 = 1417724^2 + 318245^2 .

It is a cyclic number.

It is not a de Polignac number, because 2111221220201 - 238 = 1836343313257 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2111221220201.

It is not a weakly prime, because it can be changed into another prime (2111221228201) 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, 1055610610100 + 1055610610101.

It is an arithmetic number, because the mean of its divisors is an integer number (1055610610101).

Almost surely, 22111221220201 is an apocalyptic number.

It is an amenable number.

2111221220201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111221220201 is an equidigital number, since it uses as much as digits as its factorization.

2111221220201 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 2111221220201 its reverse (1020221221112), we get a palindrome (3131442441313).

The spelling of 2111221220201 in words is "two trillion, one hundred eleven billion, two hundred twenty-one million, two hundred twenty thousand, two hundred one".