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22122001021 is a prime number
BaseRepresentation
bin10100100110100100…
…101111001001111101
32010002201110002102011
4110212210233021331
5330301213013041
614055051131221
71412126622541
oct244644571175
963081402364
1022122001021
11942232487a
124354743b11
1321171c9943
1410dc05ba21
158971cbe81
hex52692f27d

22122001021 has 2 divisors, whose sum is σ = 22122001022. Its totient is φ = 22122001020.

The previous prime is 22122001019. The next prime is 22122001037. The reversal of 22122001021 is 12010022122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18655735396 + 3466265625 = 136586^2 + 58875^2 .

It is a cyclic number.

It is not a de Polignac number, because 22122001021 - 21 = 22122001019 is a prime.

Together with 22122001019, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 22122000992 and 22122001010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22122001081) 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, 11061000510 + 11061000511.

It is an arithmetic number, because the mean of its divisors is an integer number (11061000511).

Almost surely, 222122001021 is an apocalyptic number.

It is an amenable number.

22122001021 is a deficient number, since it is larger than the sum of its proper divisors (1).

22122001021 is an equidigital number, since it uses as much as digits as its factorization.

22122001021 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 22122001021 its reverse (12010022122), we get a palindrome (34132023143).

The spelling of 22122001021 in words is "twenty-two billion, one hundred twenty-two million, one thousand, twenty-one".