100203133130100 has 1728 divisors, whose sum is σ = 434333886185472. Its totient is φ = 18647096832000.

The previous prime is 100203133130083. The next prime is 100203133130143. The reversal of 100203133130100 is 1031331302001.

It is a happy number.

100203133130100 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 0 + 31 + 331 + 301 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 12233317005 + ... + 12233325195.

Almost surely, 2^{100203133130100} is an apocalyptic number.

100203133130100 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 100203133130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217166943092736).

100203133130100 is an abundant number, since it is smaller than the sum of its proper divisors (334130753055372).

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

100203133130100 is a wasteful number, since it uses less digits than its factorization.

100203133130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8646 (or 8636 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 100203133130100 its reverse (1031331302001), we get a palindrome (101234464432101).

The spelling of 100203133130100 in words is "one hundred trillion, two hundred three billion, one hundred thirty-three million, one hundred thirty thousand, one hundred".