100424221550400 has 672 divisors, whose sum is σ = 367905539966976. Its totient is φ = 23771381760000.

The previous prime is 100424221550239. The next prime is 100424221550423. The reversal of 100424221550400 is 4055122424001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10173657465 + ... + 10173667335.

Almost surely, 2^{100424221550400} is an apocalyptic number.

100424221550400 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 100424221550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183952769983488).

100424221550400 is an abundant number, since it is smaller than the sum of its proper divisors (267481318416576).

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

100424221550400 is a wasteful number, since it uses less digits than its factorization.

100424221550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14431 (or 14416 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 100424221550400 its reverse (4055122424001), we get a palindrome (104479343974401).

The spelling of 100424221550400 in words is "one hundred trillion, four hundred twenty-four billion, two hundred twenty-one million, five hundred fifty thousand, four hundred".