Search a number
-
+
10221111100091 is a prime number
BaseRepresentation
bin1001010010111100100110…
…1100100100001010111011
31100012010110210202221100202
42110233021230210022323
52314430313420200331
633423302535152415
72103310442602133
oct224571154441273
940163423687322
1010221111100091
113290826830181
121190b0551570b
13591b010bb4a8
142749c0cc3ac3
1512ad1b95cecb
hex94bc9b242bb

10221111100091 has 2 divisors, whose sum is σ = 10221111100092. Its totient is φ = 10221111100090.

The previous prime is 10221111100049. The next prime is 10221111100159. The reversal of 10221111100091 is 19000111112201.

10221111100091 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10221111100091 is a prime.

It is a super-2 number, since 2×102211111000912 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10221111100001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110555550045 + 5110555550046.

It is an arithmetic number, because the mean of its divisors is an integer number (5110555550046).

Almost surely, 210221111100091 is an apocalyptic number.

10221111100091 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221111100091 is an equidigital number, since it uses as much as digits as its factorization.

10221111100091 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 20.

Adding to 10221111100091 its reverse (19000111112201), we get a palindrome (29221222212292).

The spelling of 10221111100091 in words is "ten trillion, two hundred twenty-one billion, one hundred eleven million, one hundred thousand, ninety-one".