22213021020100 has 36 divisors (see below), whose sum is σ = 51037682418324. Its totient is φ = 8362549089280.

The previous prime is 22213021020097. The next prime is 22213021020103. The reversal of 22213021020100 is 102012031222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22213021020097) and next prime (22213021020103).

It can be written as a sum of positive squares in 6 ways, for example, as 113563608064 + 22099457412036 = 336992^2 + 4701006^2 .

It is a super-3 number, since 3×22213021020100³ (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (22213021020103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6533239777 + ... + 6533243176.

It is an arithmetic number, because the mean of its divisors is an integer number (1417713400509).

Almost surely, 2^{22213021020100} is an apocalyptic number.

22213021020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22213021020100 is an abundant number, since it is smaller than the sum of its proper divisors (28824661398224).

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

22213021020100 is a wasteful number, since it uses less digits than its factorization.

22213021020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13066482984 (or 13066482977 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 22213021020100 its reverse (102012031222), we get a palindrome (22315033051322).

The spelling of 22213021020100 in words is "twenty-two trillion, two hundred thirteen billion, twenty-one million, twenty thousand, one hundred".