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101011110097 is a prime number
BaseRepresentation
bin101111000010010111…
…0110011100011010001
3100122201122020001112211
41132010232303203101
53123332321010342
6114223122352121
710204102161232
oct1360456634321
9318648201484
10101011110097
1139925158087
12176b04bb641
1396aa139841
144c63461089
152962db2c17
hex1784bb38d1

101011110097 has 2 divisors, whose sum is σ = 101011110098. Its totient is φ = 101011110096.

The previous prime is 101011110091. The next prime is 101011110121. The reversal of 101011110097 is 790011110101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72765602001 + 28245508096 = 269751^2 + 168064^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011110097 - 211 = 101011108049 is a prime.

It is not a weakly prime, because it can be changed into another prime (101011110091) 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, 50505555048 + 50505555049.

It is an arithmetic number, because the mean of its divisors is an integer number (50505555049).

Almost surely, 2101011110097 is an apocalyptic number.

It is an amenable number.

101011110097 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011110097 is an equidigital number, since it uses as much as digits as its factorization.

101011110097 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 101011110097 its reverse (790011110101), we get a palindrome (891022220198).

The spelling of 101011110097 in words is "one hundred one billion, eleven million, one hundred ten thousand, ninety-seven".