100501222400 has 66 divisors (see below), whose sum is σ = 249121394310. Its totient is φ = 40200478720.

The previous prime is 100501222363. The next prime is 100501222417. The reversal of 100501222400 is 4222105001.

It can be written as a sum of positive squares in 3 ways, for example, as 13433737216 + 87067485184 = 115904^2 + 295072^2 .

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 5 ways as a sum of consecutive naturals, for example, 1937315 + ... + 1988514.

Almost surely, 2^100501222400 is an apocalyptic number.

100501222400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100501222400 is an abundant number, since it is smaller than the sum of its proper divisors (148620171910).

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

100501222400 is an equidigital number, since it uses as much as digits as its factorization.

100501222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3925859 (or 3925836 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

Adding to 100501222400 its reverse (4222105001), we get a palindrome (104723327401).

The spelling of 100501222400 in words is "one hundred billion, five hundred one million, two hundred twenty-two thousand, four hundred".