221112101101193 has 2 divisors, whose sum is σ = 221112101101194. Its totient is φ = 221112101101192.

The previous prime is 221112101101079. The next prime is 221112101101253. The reversal of 221112101101193 is 391101101211122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 214907478436729 + 6204622664464 = 14659723^2 + 2490908^2 .

It is a cyclic number.

It is not a de Polignac number, because 221112101101193 - 2²⁰ = 221112100052617 is a prime.

It is a super-2 number, since 2×221112101101193² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (221112101101393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110556050550596 + 110556050550597.

It is an arithmetic number, because the mean of its divisors is an integer number (110556050550597).

Almost surely, 2^{221112101101193} is an apocalyptic number.

It is an amenable number.

221112101101193 is a deficient number, since it is larger than the sum of its proper divisors (1).

221112101101193 is an equidigital number, since it uses as much as digits as its factorization.

221112101101193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 26.

The spelling of 221112101101193 in words is "two hundred twenty-one trillion, one hundred twelve billion, one hundred one million, one hundred one thousand, one hundred ninety-three".