201113100 has 162 divisors, whose sum is σ = 666376620. Its totient is φ = 50725440.

The previous prime is 201113069. The next prime is 201113113. The reversal of 201113100 is 1311102.

It is a super-2 number, since 2×201113100² = 80892957983220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 324591 + ... + 325209.

Almost surely, 2^201113100 is an apocalyptic number.

201113100 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 201113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333188310).

201113100 is an abundant number, since it is smaller than the sum of its proper divisors (465263520).

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

201113100 is a wasteful number, since it uses less digits than its factorization.

201113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 201113100 is about 14181.4350472722. The cubic root of 201113100 is about 585.8864492056.

Adding to 201113100 its reverse (1311102), we get a palindrome (202424202).

The spelling of 201113100 in words is "two hundred one million, one hundred thirteen thousand, one hundred".