111221101002829 has 2 divisors, whose sum is σ = 111221101002830. Its totient is φ = 111221101002828.

The previous prime is 111221101002797. The next prime is 111221101002841. The reversal of 111221101002829 is 928200101122111.

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., 63543249845604 + 47677851157225 = 7971402^2 + 6904915^2 .

It is a cyclic number.

It is not a de Polignac number, because 111221101002829 - 2⁵ = 111221101002797 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 111221101002829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111221101002029) 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, 55610550501414 + 55610550501415.

It is an arithmetic number, because the mean of its divisors is an integer number (55610550501415).

Almost surely, 2^{111221101002829} is an apocalyptic number.

It is an amenable number.

111221101002829 is a deficient number, since it is larger than the sum of its proper divisors (1).

111221101002829 is an equidigital number, since it uses as much as digits as its factorization.

111221101002829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 31.

The spelling of 111221101002829 in words is "one hundred eleven trillion, two hundred twenty-one billion, one hundred one million, two thousand, eight hundred twenty-nine".