201111010100 has 288 divisors, whose sum is σ = 588035863296. Its totient is φ = 57656217600.

The previous prime is 201111010091. The next prime is 201111010117. The reversal of 201111010100 is 1010111102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29325872 + ... + 29332728.

It is an arithmetic number, because the mean of its divisors is an integer number (2041791192).

Almost surely, 2^201111010100 is an apocalyptic number.

201111010100 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 201111010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294017931648).

201111010100 is an abundant number, since it is smaller than the sum of its proper divisors (386924853196).

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

201111010100 is a wasteful number, since it uses less digits than its factorization.

201111010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7195 (or 7188 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 201111010100 its reverse (1010111102), we get a palindrome (202121121202).

The spelling of 201111010100 in words is "two hundred one billion, one hundred eleven million, ten thousand, one hundred".