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10022241121 is a prime number
BaseRepresentation
bin10010101010101111…
…10100001101100001
3221212110121121012121
421111113310031201
5131011143203441
64334255224241
7503234433604
oct112527641541
927773547177
1010022241121
114283326102
121b38518081
13c394a69b9
146b10b233b
153d9d02dd1
hex2555f4361

10022241121 has 2 divisors, whose sum is σ = 10022241122. Its totient is φ = 10022241120.

The previous prime is 10022241101. The next prime is 10022241133. The reversal of 10022241121 is 12114222001.

10022241121 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., 9864462400 + 157778721 = 99320^2 + 12561^2 .

It is a cyclic number.

It is not a de Polignac number, because 10022241121 - 219 = 10021716833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10022241095 and 10022241104.

It is not a weakly prime, because it can be changed into another prime (10022241101) 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, 5011120560 + 5011120561.

It is an arithmetic number, because the mean of its divisors is an integer number (5011120561).

Almost surely, 210022241121 is an apocalyptic number.

It is an amenable number.

10022241121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022241121 is an equidigital number, since it uses as much as digits as its factorization.

10022241121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10022241121 its reverse (12114222001), we get a palindrome (22136463122).

The spelling of 10022241121 in words is "ten billion, twenty-two million, two hundred forty-one thousand, one hundred twenty-one".