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101110110097 is a prime number
BaseRepresentation
bin101111000101010100…
…0011101011110010001
3100122222112111210000111
41132022220131132101
53124033142010342
6114241020321321
710206413520043
oct1361250353621
9318875453014
10101110110097
1139976026267
12177196a3241
1396c47c0119
144c72671a93
15296b91b217
hex178aa1d791

101110110097 has 2 divisors, whose sum is σ = 101110110098. Its totient is φ = 101110110096.

The previous prime is 101110110083. The next prime is 101110110139. The reversal of 101110110097 is 790011011101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96546296961 + 4563813136 = 310719^2 + 67556^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110110097 - 215 = 101110077329 is a prime.

It is a super-2 number, since 2×1011101100972 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101110110037) 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, 50555055048 + 50555055049.

It is an arithmetic number, because the mean of its divisors is an integer number (50555055049).

Almost surely, 2101110110097 is an apocalyptic number.

It is an amenable number.

101110110097 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110110097 is an equidigital number, since it uses as much as digits as its factorization.

101110110097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63, while the sum is 22.

Adding to 101110110097 its reverse (790011011101), we get a palindrome (891121121198).

The spelling of 101110110097 in words is "one hundred one billion, one hundred ten million, one hundred ten thousand, ninety-seven".