22102210100 has 36 divisors (see below), whose sum is σ = 47969390700. Its totient is φ = 8839484160.

The previous prime is 22102210033. The next prime is 22102210127. The reversal of 22102210100 is 101220122.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 680375056 + 21421835044 = 26084^2 + 146362^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 813536 + ... + 840264.

It is an arithmetic number, because the mean of its divisors is an integer number (1332483075).

Almost surely, 2^22102210100 is an apocalyptic number.

22102210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22102210100 is an abundant number, since it is smaller than the sum of its proper divisors (25867180600).

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

22102210100 is a wasteful number, since it uses less digits than its factorization.

22102210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35012 (or 35005 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 22102210100 its reverse (101220122), we get a palindrome (22203430222).

The spelling of 22102210100 in words is "twenty-two billion, one hundred two million, two hundred ten thousand, one hundred".