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2212022221001 is a prime number
BaseRepresentation
bin100000001100000110110…
…011000111100011001001
321211110121122001122021222
4200030012303013203021
5242220210142033001
64412104453011425
7315545654435045
oct40140663074311
97743548048258
102212022221001
1178312797061a
122b8855923b75
131307924c8388
14790c34d5025
153c816b1161b
hex20306cc78c9

2212022221001 has 2 divisors, whose sum is σ = 2212022221002. Its totient is φ = 2212022221000.

The previous prime is 2212022220911. The next prime is 2212022221067. The reversal of 2212022221001 is 1001222202122.

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., 1239926790400 + 972095430601 = 1113520^2 + 985949^2 .

It is a cyclic number.

It is not a de Polignac number, because 2212022221001 - 226 = 2211955112137 is a prime.

It is not a weakly prime, because it can be changed into another prime (2212022221081) 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, 1106011110500 + 1106011110501.

It is an arithmetic number, because the mean of its divisors is an integer number (1106011110501).

Almost surely, 22212022221001 is an apocalyptic number.

It is an amenable number.

2212022221001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2212022221001 is an equidigital number, since it uses as much as digits as its factorization.

2212022221001 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 2212022221001 its reverse (1001222202122), we get a palindrome (3213244423123).

The spelling of 2212022221001 in words is "two trillion, two hundred twelve billion, twenty-two million, two hundred twenty-one thousand, one".