220121022220181 has 2 divisors, whose sum is σ = 220121022220182. Its totient is φ = 220121022220180.

The previous prime is 220121022220109. The next prime is 220121022220217. The reversal of 220121022220181 is 181022220121022.

220121022220181 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 125503400008900 + 94617622211281 = 11202830^2 + 9727159^2 .

It is a cyclic number.

It is not a de Polignac number, because 220121022220181 - 2¹⁸ = 220121021958037 is a prime.

It is a super-2 number, since 2×220121022220181² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 220121022220181.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220121022220081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110060511110090 + 110060511110091.

It is an arithmetic number, because the mean of its divisors is an integer number (110060511110091).

Almost surely, 2^{220121022220181} is an apocalyptic number.

It is an amenable number.

220121022220181 is a deficient number, since it is larger than the sum of its proper divisors (1).

220121022220181 is an equidigital number, since it uses as much as digits as its factorization.

220121022220181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1024, while the sum is 26.

The spelling of 220121022220181 in words is "two hundred twenty trillion, one hundred twenty-one billion, twenty-two million, two hundred twenty thousand, one hundred eighty-one".