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10221121331 is a prime number
BaseRepresentation
bin10011000010011100…
…11110111100110011
3222101022211202120022
421201032132330303
5131413101340311
64410122034055
7511201045361
oct114116367463
928338752508
1010221121331
114375613813
121b9304892b
13c6b75b3b5
146cd682631
153ec4da5db
hex26139ef33

10221121331 has 2 divisors, whose sum is σ = 10221121332. Its totient is φ = 10221121330.

The previous prime is 10221121247. The next prime is 10221121373. The reversal of 10221121331 is 13312112201.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10221121331 is a prime.

It is a super-2 number, since 2×102211213312 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (10221121931) 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, 5110560665 + 5110560666.

It is an arithmetic number, because the mean of its divisors is an integer number (5110560666).

Almost surely, 210221121331 is an apocalyptic number.

10221121331 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221121331 is an equidigital number, since it uses as much as digits as its factorization.

10221121331 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 17.

Adding to 10221121331 its reverse (13312112201), we get a palindrome (23533233532).

The spelling of 10221121331 in words is "ten billion, two hundred twenty-one million, one hundred twenty-one thousand, three hundred thirty-one".