21220211101122 has 64 divisors (see below), whose sum is σ = 51454526037120. Its totient is φ = 6428918246400.

The previous prime is 21220211101099. The next prime is 21220211101129. The reversal of 21220211101122 is 22110111202212.

21220211101122 is a `hidden beast` number, since 212 + 20 + 211 + 101 + 122 = 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 = 21220211101095 and 21220211101104.

It is not an unprimeable number, because it can be changed into a prime (21220211101129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1384143 + ... + 6660050.

It is an arithmetic number, because the mean of its divisors is an integer number (803976969330).

Almost surely, 2^{21220211101122} is an apocalyptic number.

21220211101122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21220211101122 is an abundant number, since it is smaller than the sum of its proper divisors (30234314935998).

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

21220211101122 is a wasteful number, since it uses less digits than its factorization.

21220211101122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8048656 (or 8048650 counting only the distinct ones).

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

Adding to 21220211101122 its reverse (22110111202212), we get a palindrome (43330322303334).

The spelling of 21220211101122 in words is "twenty-one trillion, two hundred twenty billion, two hundred eleven million, one hundred one thousand, one hundred twenty-two".