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10123101017 is a prime number
BaseRepresentation
bin10010110110110001…
…00100001101011001
3222010111101210222022
421123120210031121
5131213003213032
64352301104225
7505600640021
oct113330441531
928114353868
1010123101017
114325254697
121b66258075
13c5435ba03
146c0648a81
153e3ac7512
hex25b624359

10123101017 has 2 divisors, whose sum is σ = 10123101018. Its totient is φ = 10123101016.

The previous prime is 10123101011. The next prime is 10123101031. The reversal of 10123101017 is 71010132101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7201049881 + 2922051136 = 84859^2 + 54056^2 .

It is an emirp because it is prime and its reverse (71010132101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10123101017 - 222 = 10118906713 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10123100986 and 10123101004.

It is not a weakly prime, because it can be changed into another prime (10123101011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061550508 + 5061550509.

It is an arithmetic number, because the mean of its divisors is an integer number (5061550509).

Almost surely, 210123101017 is an apocalyptic number.

It is an amenable number.

10123101017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10123101017 is an equidigital number, since it uses as much as digits as its factorization.

10123101017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42, while the sum is 17.

Adding to 10123101017 its reverse (71010132101), we get a palindrome (81133233118).

The spelling of 10123101017 in words is "ten billion, one hundred twenty-three million, one hundred one thousand, seventeen".