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10222213121 is a prime number
BaseRepresentation
bin10011000010100101…
…01001100000000001
3222101101220020012222
421201102221200001
5131413341304441
64410201300425
7511213243421
oct114122514001
928341806188
1010222213121
11437619a01a
121b93494715
13c6ba51323
146cd888481
153ec653d4b
hex2614a9801

10222213121 has 2 divisors, whose sum is σ = 10222213122. Its totient is φ = 10222213120.

The previous prime is 10222213069. The next prime is 10222213129. The reversal of 10222213121 is 12131222201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7167992896 + 3054220225 = 84664^2 + 55265^2 .

It is a cyclic number.

It is not a de Polignac number, because 10222213121 - 222 = 10218018817 is a prime.

It is a super-2 number, since 2×102222131212 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10222213121.

It is not a weakly prime, because it can be changed into another prime (10222213129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111106560 + 5111106561.

It is an arithmetic number, because the mean of its divisors is an integer number (5111106561).

Almost surely, 210222213121 is an apocalyptic number.

It is an amenable number.

10222213121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10222213121 is an equidigital number, since it uses as much as digits as its factorization.

10222213121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10222213121 its reverse (12131222201), we get a palindrome (22353435322).

The spelling of 10222213121 in words is "ten billion, two hundred twenty-two million, two hundred thirteen thousand, one hundred twenty-one".