102010103617 has 2 divisors, whose sum is σ = 102010103618. Its totient is φ = 102010103616.

The previous prime is 102010103581. The next prime is 102010103621. The reversal of 102010103617 is 716301010201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85863064576 + 16147039041 = 293024^2 + 127071^2 .

It is a cyclic number.

It is not a de Polignac number, because 102010103617 - 2¹⁵ = 102010070849 is a prime.

It is a super-4 number, since 4×102010103617⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (102010103647) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51005051808 + 51005051809.

It is an arithmetic number, because the mean of its divisors is an integer number (51005051809).

Almost surely, 2^102010103617 is an apocalyptic number.

It is an amenable number.

102010103617 is a deficient number, since it is larger than the sum of its proper divisors (1).

102010103617 is an equidigital number, since it uses as much as digits as its factorization.

102010103617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252, while the sum is 22.

Adding to 102010103617 its reverse (716301010201), we get a palindrome (818311113818).

The spelling of 102010103617 in words is "one hundred two billion, ten million, one hundred three thousand, six hundred seventeen".