221221011011022 has 128 divisors (see below), whose sum is σ = 554815636992000. Its totient is φ = 64721630413440.

The previous prime is 221221011010973. The next prime is 221221011011059. The reversal of 221221011011022 is 220110110122122.

221221011011022 is a `hidden beast` number, since 2 + 212 + 210 + 110 + 110 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221221011010986 and 221221011011004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 334250004 + ... + 334911192.

It is an arithmetic number, because the mean of its divisors is an integer number (4334497164000).

Almost surely, 2^{221221011011022} is an apocalyptic number.

221221011011022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 221221011011022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277407818496000).

221221011011022 is an abundant number, since it is smaller than the sum of its proper divisors (333594625980978).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221221011011022 is a wasteful number, since it uses less digits than its factorization.

221221011011022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680663 (or 680657 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221221011011022 its reverse (220110110122122), we get a palindrome (441331121133144).

The spelling of 221221011011022 in words is "two hundred twenty-one trillion, two hundred twenty-one billion, eleven million, eleven thousand, twenty-two".