21220100221122 has 48 divisors (see below), whose sum is σ = 50157941756832. Its totient is φ = 6430161447360.

The previous prime is 21220100221087. The next prime is 21220100221153. The reversal of 21220100221122 is 22112200102212.

It is a happy number.

21220100221122 is a `hidden beast` number, since 2 + 1 + 220 + 100 + 221 + 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 = 21220100221095 and 21220100221104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6089613 + ... + 8917599.

It is an arithmetic number, because the mean of its divisors is an integer number (1044957119934).

Almost surely, 2^{21220100221122} is an apocalyptic number.

21220100221122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21220100221122 is an abundant number, since it is smaller than the sum of its proper divisors (28937841535710).

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

21220100221122 is a wasteful number, since it uses less digits than its factorization.

21220100221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2865903 (or 2865900 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21220100221122 its reverse (22112200102212), we get a palindrome (43332300323334).

The spelling of 21220100221122 in words is "twenty-one trillion, two hundred twenty billion, one hundred million, two hundred twenty-one thousand, one hundred twenty-two".