201111100201200 has 960 divisors, whose sum is σ = 776390408404992. Its totient is φ = 43530954854400.

The previous prime is 201111100201181. The next prime is 201111100201243. The reversal of 201111100201200 is 2102001111102.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 191 ways as a sum of consecutive naturals, for example, 5285840577 + ... + 5285878623.

Almost surely, 2^{201111100201200} is an apocalyptic number.

201111100201200 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 201111100201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388195204202496).

201111100201200 is an abundant number, since it is smaller than the sum of its proper divisors (575279308203792).

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

201111100201200 is a wasteful number, since it uses less digits than its factorization.

201111100201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38542 (or 38531 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 201111100201200 its reverse (2102001111102), we get a palindrome (203213101312302).

The spelling of 201111100201200 in words is "two hundred one trillion, one hundred eleven billion, one hundred million, two hundred one thousand, two hundred".