101331309917221 has 2 divisors, whose sum is σ = 101331309917222. Its totient is φ = 101331309917220.

The previous prime is 101331309917213. The next prime is 101331309917291. The reversal of 101331309917221 is 122719903133101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99540249644196 + 1791060273025 = 9976986^2 + 1338305^2 .

It is an emirp because it is prime and its reverse (122719903133101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101331309917221 - 2³ = 101331309917213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101331309917291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50665654958610 + 50665654958611.

It is an arithmetic number, because the mean of its divisors is an integer number (50665654958611).

Almost surely, 2^{101331309917221} is an apocalyptic number.

It is an amenable number.

101331309917221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101331309917221 is an equidigital number, since it uses as much as digits as its factorization.

101331309917221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 61236, while the sum is 43.

The spelling of 101331309917221 in words is "one hundred one trillion, three hundred thirty-one billion, three hundred nine million, nine hundred seventeen thousand, two hundred twenty-one".