22101143200 has 108 divisors (see below), whose sum is σ = 54593001918. Its totient is φ = 8736192000.

The previous prime is 22101143191. The next prime is 22101143209. The reversal of 22101143200 is 234110122.

It is an interprime number because it is at equal distance from previous prime (22101143191) and next prime (22101143209).

It can be written as a sum of positive squares in 3 ways, for example, as 20836345104 + 1264798096 = 144348^2 + 35564^2 .

It is a super-3 number, since 3×22101143200³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (22101143209) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 42258139 + ... + 42258661.

Almost surely, 2^22101143200 is an apocalyptic number.

22101143200 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 22101143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27296500959).

22101143200 is an abundant number, since it is smaller than the sum of its proper divisors (32491858718).

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

22101143200 is an equidigital number, since it uses as much as digits as its factorization.

22101143200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 631 counting only the distinct ones).

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

Adding to 22101143200 its reverse (234110122), we get a palindrome (22335253322).

The spelling of 22101143200 in words is "twenty-two billion, one hundred one million, one hundred forty-three thousand, two hundred".