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2222100022201 is a prime number
BaseRepresentation
bin100000010101011111011…
…110111000001110111001
321212102121222012222121021
4200111133132320032321
5242401330101202301
64420452455142441
7316353465354463
oct40253736701671
97772558188537
102222100022201
11787429594844
122ba7a8974a21
1313170a356157
147979bb0b133
153cc0673b8a1
hex2055f7b83b9

2222100022201 has 2 divisors, whose sum is σ = 2222100022202. Its totient is φ = 2222100022200.

The previous prime is 2222100022157. The next prime is 2222100022211. The reversal of 2222100022201 is 1022200012222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1574211864976 + 647888157225 = 1254676^2 + 804915^2 .

It is a cyclic number.

It is not a de Polignac number, because 2222100022201 - 29 = 2222100021689 is a prime.

It is not a weakly prime, because it can be changed into another prime (2222100022211) 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, 1111050011100 + 1111050011101.

It is an arithmetic number, because the mean of its divisors is an integer number (1111050011101).

Almost surely, 22222100022201 is an apocalyptic number.

It is an amenable number.

2222100022201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2222100022201 is an equidigital number, since it uses as much as digits as its factorization.

2222100022201 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 16.

Adding to 2222100022201 its reverse (1022200012222), we get a palindrome (3244300034423).

The spelling of 2222100022201 in words is "two trillion, two hundred twenty-two billion, one hundred million, twenty-two thousand, two hundred one".