100412422400 has 216 divisors, whose sum is σ = 259145580288. Its totient is φ = 38476800000.

The previous prime is 100412422373. The next prime is 100412422423. The reversal of 100412422400 is 4224214001.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20035895 + ... + 20040905.

Almost surely, 2^100412422400 is an apocalyptic number.

100412422400 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 100412422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129572790144).

100412422400 is an abundant number, since it is smaller than the sum of its proper divisors (158733157888).

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

100412422400 is a wasteful number, since it uses less digits than its factorization.

100412422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5169 (or 5150 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 100412422400 its reverse (4224214001), we get a palindrome (104636636401).

The spelling of 100412422400 in words is "one hundred billion, four hundred twelve million, four hundred twenty-two thousand, four hundred".