201189100 has 108 divisors (see below), whose sum is σ = 534835560. Its totient is φ = 65318400.

The previous prime is 201189083. The next prime is 201189127. The reversal of 201189100 is 1981102.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 92020 + ... + 94180.

Almost surely, 2^201189100 is an apocalyptic number.

201189100 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 201189100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267417780).

201189100 is an abundant number, since it is smaller than the sum of its proper divisors (333646460).

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

201189100 is a wasteful number, since it uses less digits than its factorization.

201189100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2208 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 22.

The square root of 201189100 is about 14184.1143537409. The cubic root of 201189100 is about 585.9602414522.

The spelling of 201189100 in words is "two hundred one million, one hundred eighty-nine thousand, one hundred".