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10022121997 is a prime number
BaseRepresentation
bin10010101010101110…
…10111001000001101
3221212110101112210121
421111113113020031
5131011130400442
64334252504541
7503233426366
oct112527271015
927773345717
1010022121997
114283254658
121b3847b151
13c39464704
146b1080b6d
153d9ccc967
hex2555d720d

10022121997 has 2 divisors, whose sum is σ = 10022121998. Its totient is φ = 10022121996.

The previous prime is 10022121961. The next prime is 10022122003. The reversal of 10022121997 is 79912122001.

It is a happy number.

10022121997 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6045684516 + 3976437481 = 77754^2 + 63059^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10022121997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10022121947) 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, 5011060998 + 5011060999.

It is an arithmetic number, because the mean of its divisors is an integer number (5011060999).

Almost surely, 210022121997 is an apocalyptic number.

It is an amenable number.

10022121997 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022121997 is an equidigital number, since it uses as much as digits as its factorization.

10022121997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 34.

Adding to 10022121997 its reverse (79912122001), we get a palindrome (89934243998).

The spelling of 10022121997 in words is "ten billion, twenty-two million, one hundred twenty-one thousand, nine hundred ninety-seven".