101222221199173 has 2 divisors, whose sum is σ = 101222221199174. Its totient is φ = 101222221199172.

The previous prime is 101222221199167. The next prime is 101222221199189. The reversal of 101222221199173 is 371991122222101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84140590061124 + 17081631138049 = 9172818^2 + 4132993^2 .

It is an emirp because it is prime and its reverse (371991122222101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101222221199173 - 2²⁵ = 101222187644741 is a prime.

It is a super-2 number, since 2×101222221199173² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101222221199153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50611110599586 + 50611110599587.

It is an arithmetic number, because the mean of its divisors is an integer number (50611110599587).

Almost surely, 2^{101222221199173} is an apocalyptic number.

It is an amenable number.

101222221199173 is a deficient number, since it is larger than the sum of its proper divisors (1).

101222221199173 is an equidigital number, since it uses as much as digits as its factorization.

101222221199173 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54432, while the sum is 43.

The spelling of 101222221199173 in words is "one hundred one trillion, two hundred twenty-two billion, two hundred twenty-one million, one hundred ninety-nine thousand, one hundred seventy-three".