100220242400 has 432 divisors, whose sum is σ = 270766513584. Its totient is φ = 36183490560.

The previous prime is 100220242393. The next prime is 100220242403. The reversal of 100220242400 is 4242022001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100220242403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 886904744 + ... + 886904856.

It is an arithmetic number, because the mean of its divisors is an integer number (626774337).

Almost surely, 2^100220242400 is an apocalyptic number.

100220242400 is a gapful number since it is divisible by the number (10) 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 100220242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135383256792).

100220242400 is an abundant number, since it is smaller than the sum of its proper divisors (170546271184).

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

100220242400 is a wasteful number, since it uses less digits than its factorization.

100220242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 100220242400 its reverse (4242022001), we get a palindrome (104462264401).

The spelling of 100220242400 in words is "one hundred billion, two hundred twenty million, two hundred forty-two thousand, four hundred".