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2221022122001 is a prime number
BaseRepresentation
bin100000010100011111001…
…111000001000000010001
321212022211211221222111122
4200110133033001000101
5242342123130401001
64420153512052025
7316314666354344
oct40243717010021
97768754858448
102221022122001
11786a260a4431
122ba547994015
13131597c42597
14796d88c245b
153cb91cbdb1b
hex2051f3c1011

2221022122001 has 2 divisors, whose sum is σ = 2221022122002. Its totient is φ = 2221022122000.

The previous prime is 2221022121971. The next prime is 2221022122013. The reversal of 2221022122001 is 1002212201222.

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., 2169952901776 + 51069220225 = 1473076^2 + 225985^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2221022122001 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2221022122061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110511061000 + 1110511061001.

It is an arithmetic number, because the mean of its divisors is an integer number (1110511061001).

Almost surely, 22221022122001 is an apocalyptic number.

It is an amenable number.

2221022122001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221022122001 is an equidigital number, since it uses as much as digits as its factorization.

2221022122001 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 2221022122001 its reverse (1002212201222), we get a palindrome (3223234323223).

The spelling of 2221022122001 in words is "two trillion, two hundred twenty-one billion, twenty-two million, one hundred twenty-two thousand, one".