22102100121220 has 72 divisors (see below), whose sum is σ = 53993947495320. Its totient is φ = 7577627904000.

The previous prime is 22102100121209. The next prime is 22102100121221. The reversal of 22102100121220 is 2212100120122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5495611209984 + 16606488911236 = 2344272^2 + 4075106^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22102100121194 and 22102100121203.

It is not an unprimeable number, because it can be changed into a prime (22102100121221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32878470 + ... + 33543970.

It is an arithmetic number, because the mean of its divisors is an integer number (749915937435).

Almost surely, 2^{22102100121220} is an apocalyptic number.

22102100121220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22102100121220 is an abundant number, since it is smaller than the sum of its proper divisors (31891847374100).

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

22102100121220 is a wasteful number, since it uses less digits than its factorization.

22102100121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699413 (or 699404 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22102100121220 its reverse (2212100120122), we get a palindrome (24314200241342).

The spelling of 22102100121220 in words is "twenty-two trillion, one hundred two billion, one hundred million, one hundred twenty-one thousand, two hundred twenty".