22100142400 has 336 divisors, whose sum is σ = 64329950080. Its totient is φ = 7315660800.

The previous prime is 22100142377. The next prime is 22100142413. The reversal of 22100142400 is 424100122.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52494190 + ... + 52494610.

Almost surely, 2^22100142400 is an apocalyptic number.

22100142400 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 22100142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32164975040).

22100142400 is an abundant number, since it is smaller than the sum of its proper divisors (42229807680).

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

22100142400 is a wasteful number, since it uses less digits than its factorization.

22100142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22100142400 its reverse (424100122), we get a palindrome (22524242522).

The spelling of 22100142400 in words is "twenty-two billion, one hundred million, one hundred forty-two thousand, four hundred".