221121112121101 has 2 divisors, whose sum is σ = 221121112121102. Its totient is φ = 221121112121100.

The previous prime is 221121112121059. The next prime is 221121112121159. The reversal of 221121112121101 is 101121211121122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 180519378062500 + 40601734058601 = 13435750^2 + 6371949^2 .

It is a cyclic number.

It is not a de Polignac number, because 221121112121101 - 2¹¹ = 221121112119053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221121112121401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110560556060550 + 110560556060551.

It is an arithmetic number, because the mean of its divisors is an integer number (110560556060551).

Almost surely, 2^{221121112121101} is an apocalyptic number.

It is an amenable number.

221121112121101 is a deficient number, since it is larger than the sum of its proper divisors (1).

221121112121101 is an equidigital number, since it uses as much as digits as its factorization.

221121112121101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 19.

Adding to 221121112121101 its reverse (101121211121122), we get a palindrome (322242323242223).

The spelling of 221121112121101 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, one hundred twelve million, one hundred twenty-one thousand, one hundred one".