101121002102017 has 2 divisors, whose sum is σ = 101121002102018. Its totient is φ = 101121002102016.

The previous prime is 101121002101937. The next prime is 101121002102023. The reversal of 101121002102017 is 710201200121101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83980068996096 + 17140933105921 = 9164064^2 + 4140161^2 .

It is a cyclic number.

It is not a de Polignac number, because 101121002102017 - 2²³ = 101120993713409 is a prime.

It is a super-2 number, since 2×101121002102017² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101121002101985 and 101121002102003.

It is not a weakly prime, because it can be changed into another prime (101121002102917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560501051008 + 50560501051009.

It is an arithmetic number, because the mean of its divisors is an integer number (50560501051009).

Almost surely, 2^{101121002102017} is an apocalyptic number.

It is an amenable number.

101121002102017 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121002102017 is an equidigital number, since it uses as much as digits as its factorization.

101121002102017 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 19.

Adding to 101121002102017 its reverse (710201200121101), we get a palindrome (811322202223118).

The spelling of 101121002102017 in words is "one hundred one trillion, one hundred twenty-one billion, two million, one hundred two thousand, seventeen".