221131112112049 has 2 divisors, whose sum is σ = 221131112112050. Its totient is φ = 221131112112048.

The previous prime is 221131112111999. The next prime is 221131112112073. The reversal of 221131112112049 is 940211211131122.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 216828570010000 + 4302542102049 = 14725100^2 + 2074257^2 .

It is a cyclic number.

It is not a de Polignac number, because 221131112112049 - 2³⁹ = 220581356298161 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 221131112112049.

It is not a weakly prime, because it can be changed into another prime (221131112112949) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110565556056024 + 110565556056025.

It is an arithmetic number, because the mean of its divisors is an integer number (110565556056025).

Almost surely, 2^{221131112112049} is an apocalyptic number.

It is an amenable number.

221131112112049 is a deficient number, since it is larger than the sum of its proper divisors (1).

221131112112049 is an equidigital number, since it uses as much as digits as its factorization.

221131112112049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 31.

The spelling of 221131112112049 in words is "two hundred twenty-one trillion, one hundred thirty-one billion, one hundred twelve million, one hundred twelve thousand, forty-nine".