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10022109121 is a prime number
BaseRepresentation
bin10010101010101110…
…10011111111000001
3221212110100220010201
421111113103333001
5131011124442441
64334252325201
7503233344013
oct112527237701
927773326121
1010022109121
114283245a12
121b38473801
13c3945b8ab
146b107a1b3
153d9cc8c31
hex2555d3fc1

10022109121 has 2 divisors, whose sum is σ = 10022109122. Its totient is φ = 10022109120.

The previous prime is 10022109077. The next prime is 10022109137. The reversal of 10022109121 is 12190122001.

It is a happy number.

10022109121 is digitally balanced in base 3, 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., 8482410000 + 1539699121 = 92100^2 + 39239^2 .

It is an emirp because it is prime and its reverse (12190122001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10022109121 - 223 = 10013720513 is a prime.

It is not a weakly prime, because it can be changed into another prime (10022109421) 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, 5011054560 + 5011054561.

It is an arithmetic number, because the mean of its divisors is an integer number (5011054561).

Almost surely, 210022109121 is an apocalyptic number.

It is an amenable number.

10022109121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022109121 is an equidigital number, since it uses as much as digits as its factorization.

10022109121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 10022109121 in words is "ten billion, twenty-two million, one hundred nine thousand, one hundred twenty-one".