100203021120000 has 3200 divisors, whose sum is σ = 385289053636608. Its totient is φ = 23003136000000.

The previous prime is 100203021119959. The next prime is 100203021120011. The reversal of 100203021120000 is 21120302001.

It is a tau number, because it is divible by the number of its divisors (3200).

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 319 ways as a sum of consecutive naturals, for example, 992109119950 + ... + 992109120050.

Almost surely, 2^{100203021120000} is an apocalyptic number.

100203021120000 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 100203021120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192644526818304).

100203021120000 is an abundant number, since it is smaller than the sum of its proper divisors (285086032516608).

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

100203021120000 is a wasteful number, since it uses less digits than its factorization.

100203021120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100203021120000 its reverse (21120302001), we get a palindrome (100224141422001).

The spelling of 100203021120000 in words is "one hundred trillion, two hundred three billion, twenty-one million, one hundred twenty thousand".