101102202017 has 2 divisors, whose sum is σ = 101102202018. Its totient is φ = 101102202016.

The previous prime is 101102201987. The next prime is 101102202053. The reversal of 101102202017 is 710202201101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82297839376 + 18804362641 = 286876^2 + 137129^2 .

It is a cyclic number.

It is not a de Polignac number, because 101102202017 - 2¹⁶ = 101102136481 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101102201986 and 101102202004.

It is not a weakly prime, because it can be changed into another prime (101102202077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50551101008 + 50551101009.

It is an arithmetic number, because the mean of its divisors is an integer number (50551101009).

Almost surely, 2^101102202017 is an apocalyptic number.

It is an amenable number.

101102202017 is a deficient number, since it is larger than the sum of its proper divisors (1).

101102202017 is an equidigital number, since it uses as much as digits as its factorization.

101102202017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 17.

Adding to 101102202017 its reverse (710202201101), we get a palindrome (811304403118).

The spelling of 101102202017 in words is "one hundred one billion, one hundred two million, two hundred two thousand, seventeen".