201789800100 has 432 divisors, whose sum is σ = 753674428416. Its totient is φ = 45874512000.

The previous prime is 201789800089. The next prime is 201789800117. The reversal of 201789800100 is 1008987102.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32485995 + ... + 32492205.

Almost surely, 2^201789800100 is an apocalyptic number.

201789800100 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 201789800100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376837214208).

201789800100 is an abundant number, since it is smaller than the sum of its proper divisors (551884628316).

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

201789800100 is a wasteful number, since it uses less digits than its factorization.

201789800100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6438 (or 6419 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 201789800100 in words is "two hundred one billion, seven hundred eighty-nine million, eight hundred thousand, one hundred".