22141440100 has 144 divisors (see below), whose sum is σ = 53300494800. Its totient is φ = 7930552320.

The previous prime is 22141440089. The next prime is 22141440131. The reversal of 22141440100 is 104414122.

It can be written as a sum of positive squares in 24 ways, for example, as 12776233024 + 9365207076 = 113032^2 + 96774^2 .

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 47 ways as a sum of consecutive naturals, for example, 27368496 + ... + 27369304.

It is an arithmetic number, because the mean of its divisors is an integer number (370142325).

Almost surely, 2^22141440100 is an apocalyptic number.

22141440100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22141440100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26650247400).

22141440100 is an abundant number, since it is smaller than the sum of its proper divisors (31159054700).

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

22141440100 is a wasteful number, since it uses less digits than its factorization.

22141440100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 22141440100 its reverse (104414122), we get a palindrome (22245854222).

It can be divided in two parts, 22141 and 440100, that added together give a triangular number (462241 = T₉₆₁).

The spelling of 22141440100 in words is "twenty-two billion, one hundred forty-one million, four hundred forty thousand, one hundred".