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2221000001221 is a prime number
BaseRepresentation
bin100000010100011101111…
…010101000011011000101
321212022210022100010111111
4200110131322220123011
5242342102000014341
64420151402005021
7316314310343311
oct40243572503305
97768708303444
102221000001221
11786a146657a1
122ba5404a6771
13131593498a71
14796d59a4b41
153cb8ed9e681
hex2051dea86c5

2221000001221 has 2 divisors, whose sum is σ = 2221000001222. Its totient is φ = 2221000001220.

The previous prime is 2221000001191. The next prime is 2221000001237. The reversal of 2221000001221 is 1221000001222.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2170792636321 + 50207364900 = 1473361^2 + 224070^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221000001221 - 213 = 2220999993029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2221000001291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110500000610 + 1110500000611.

It is an arithmetic number, because the mean of its divisors is an integer number (1110500000611).

Almost surely, 22221000001221 is an apocalyptic number.

It is an amenable number.

2221000001221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221000001221 is an equidigital number, since it uses as much as digits as its factorization.

2221000001221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2221000001221 its reverse (1221000001222), we get a palindrome (3442000002443).

Subtracting from 2221000001221 its reverse (1221000001222), we obtain a palindrome (999999999999).

The spelling of 2221000001221 in words is "two trillion, two hundred twenty-one billion, one thousand, two hundred twenty-one".