100020224144400 has 240 divisors, whose sum is σ = 376065745858944. Its totient is φ = 22243879895040.

The previous prime is 100020224144383. The next prime is 100020224144413. The reversal of 100020224144400 is 4441422020001.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160596897 + ... + 161218496.

Almost surely, 2^{100020224144400} is an apocalyptic number.

100020224144400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100020224144400 is an abundant number, since it is smaller than the sum of its proper divisors (276045521714544).

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

100020224144400 is a wasteful number, since it uses less digits than its factorization.

100020224144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321815458 (or 321815447 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 100020224144400 its reverse (4441422020001), we get a palindrome (104461646164401).

The spelling of 100020224144400 in words is "one hundred trillion, twenty billion, two hundred twenty-four million, one hundred forty-four thousand, four hundred".