100020302400 has 672 divisors, whose sum is σ = 366144779520. Its totient is φ = 23775150080.

The previous prime is 100020302339. The next prime is 100020302407. The reversal of 100020302400 is 4203020001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (100020302407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 257121406 + ... + 257121794.

Almost surely, 2^100020302400 is an apocalyptic number.

100020302400 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 100020302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183072389760).

100020302400 is an abundant number, since it is smaller than the sum of its proper divisors (266124477120).

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

100020302400 is a wasteful number, since it uses less digits than its factorization.

100020302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 100020302400 its reverse (4203020001), we get a palindrome (104223322401).

The spelling of 100020302400 in words is "one hundred billion, twenty million, three hundred two thousand, four hundred".