201003032330100 has 1728 divisors, whose sum is σ = 869542014082560. Its totient is φ = 37479175372800.

The previous prime is 201003032330077. The next prime is 201003032330167. The reversal of 201003032330100 is 1033230300102.

201003032330100 is a `hidden beast` number, since 2 + 0 + 10 + 0 + 30 + 323 + 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, 55633275894 + ... + 55633279506.

Almost surely, 2^{201003032330100} is an apocalyptic number.

201003032330100 is a gapful number since it is divisible by the number (20) 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 201003032330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434771007041280).

201003032330100 is an abundant number, since it is smaller than the sum of its proper divisors (668538981752460).

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

201003032330100 is a wasteful number, since it uses less digits than its factorization.

201003032330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5370 (or 5360 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 201003032330100 its reverse (1033230300102), we get a palindrome (202036262630202).

The spelling of 201003032330100 in words is "two hundred one trillion, three billion, thirty-two million, three hundred thirty thousand, one hundred".