101102112217 has 2 divisors, whose sum is σ = 101102112218. Its totient is φ = 101102112216.

The previous prime is 101102112157. The next prime is 101102112233. The reversal of 101102112217 is 712211201101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57023529616 + 44078582601 = 238796^2 + 209949^2 .

It is a cyclic number.

It is not a de Polignac number, because 101102112217 - 2³¹ = 98954628569 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101102112194 and 101102112203.

It is not a weakly prime, because it can be changed into another prime (101102110217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50551056108 + 50551056109.

It is an arithmetic number, because the mean of its divisors is an integer number (50551056109).

Almost surely, 2^101102112217 is an apocalyptic number.

It is an amenable number.

101102112217 is a deficient number, since it is larger than the sum of its proper divisors (1).

101102112217 is an equidigital number, since it uses as much as digits as its factorization.

101102112217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 19.

Adding to 101102112217 its reverse (712211201101), we get a palindrome (813313313318).

The spelling of 101102112217 in words is "one hundred one billion, one hundred two million, one hundred twelve thousand, two hundred seventeen".