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101101110857 is a prime number
BaseRepresentation
bin101111000101000011…
…0001000011001001001
3100122221220120120101022
41132022012020121021
53124023341021412
6114240055402225
710206244156145
oct1361206103111
9318856516338
10101101110857
1139970a39a7a
1217716683375
1396c298bc26
144c713ac225
15296ac3ea72
hex178a188649

101101110857 has 2 divisors, whose sum is σ = 101101110858. Its totient is φ = 101101110856.

The previous prime is 101101110769. The next prime is 101101110883. The reversal of 101101110857 is 758011101101.

It is an a-pointer prime, because the next prime (101101110883) can be obtained adding 101101110857 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98920314256 + 2180796601 = 314516^2 + 46699^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101101110857 is a prime.

It is not a weakly prime, because it can be changed into another prime (101101113857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550555428 + 50550555429.

It is an arithmetic number, because the mean of its divisors is an integer number (50550555429).

Almost surely, 2101101110857 is an apocalyptic number.

It is an amenable number.

101101110857 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101110857 is an equidigital number, since it uses as much as digits as its factorization.

101101110857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 280, while the sum is 26.

Adding to 101101110857 its reverse (758011101101), we get a palindrome (859112211958).

The spelling of 101101110857 in words is "one hundred one billion, one hundred one million, one hundred ten thousand, eight hundred fifty-seven".