201112011100 has 432 divisors, whose sum is σ = 623898567936. Its totient is φ = 54452736000.

The previous prime is 201112011043. The next prime is 201112011103. The reversal of 201112011100 is 1110211102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201112011103) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22117555 + ... + 22126645.

It is an arithmetic number, because the mean of its divisors is an integer number (1444209648).

Almost surely, 2^201112011100 is an apocalyptic number.

201112011100 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 201112011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311949283968).

201112011100 is an abundant number, since it is smaller than the sum of its proper divisors (422786556836).

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

201112011100 is a wasteful number, since it uses less digits than its factorization.

201112011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9166 (or 9146 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 201112011100 its reverse (1110211102), we get a palindrome (202222222202).

It can be divided in two parts, 20111 and 2011100, that multiplied together give a square (40445232100 = 201110²).

The spelling of 201112011100 in words is "two hundred one billion, one hundred twelve million, eleven thousand, one hundred".