100203200000400 has 480 divisors, whose sum is σ = 386179965122560. Its totient is φ = 21696254300160.

The previous prime is 100203200000389. The next prime is 100203200000471. The reversal of 100203200000400 is 4000002302001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2644074252 + ... + 2644112148.

Almost surely, 2^{100203200000400} is an apocalyptic number.

100203200000400 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 100203200000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193089982561280).

100203200000400 is an abundant number, since it is smaller than the sum of its proper divisors (285976765122160).

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

100203200000400 is a wasteful number, since it uses less digits than its factorization.

100203200000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54511 (or 54500 counting only the distinct ones).

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

Adding to 100203200000400 its reverse (4000002302001), we get a palindrome (104203202302401).

The spelling of 100203200000400 in words is "one hundred trillion, two hundred three billion, two hundred million, four hundred", and thus it is an aban number.