101020112112217 has 2 divisors, whose sum is σ = 101020112112218. Its totient is φ = 101020112112216.

The previous prime is 101020112112193. The next prime is 101020112112251. The reversal of 101020112112217 is 712211211020101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76425693668041 + 24594418444176 = 8742179^2 + 4959276^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101020112112217 is a prime.

It is not a weakly prime, because it can be changed into another prime (101020112110217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510056056108 + 50510056056109.

It is an arithmetic number, because the mean of its divisors is an integer number (50510056056109).

Almost surely, 2^{101020112112217} is an apocalyptic number.

It is an amenable number.

101020112112217 is a deficient number, since it is larger than the sum of its proper divisors (1).

101020112112217 is an equidigital number, since it uses as much as digits as its factorization.

101020112112217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 22.

Adding to 101020112112217 its reverse (712211211020101), we get a palindrome (813231323132318).

The spelling of 101020112112217 in words is "one hundred one trillion, twenty billion, one hundred twelve million, one hundred twelve thousand, two hundred seventeen".