201101111100 has 72 divisors (see below), whose sum is σ = 646502839920. Its totient is φ = 53626962240.

The previous prime is 201101111083. The next prime is 201101111119. The reversal of 201101111100 is 1111101102.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37238247 + ... + 37243646.

It is an arithmetic number, because the mean of its divisors is an integer number (8979206110).

Almost surely, 2^201101111100 is an apocalyptic number.

201101111100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201101111100 is an abundant number, since it is smaller than the sum of its proper divisors (445401728820).

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

201101111100 is a wasteful number, since it uses less digits than its factorization.

201101111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74481916 (or 74481903 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 201101111100 its reverse (1111101102), we get a palindrome (202212212202).

The spelling of 201101111100 in words is "two hundred one billion, one hundred one million, one hundred eleven thousand, one hundred".