201101110111200 has 576 divisors, whose sum is σ = 709822650442752. Its totient is φ = 49158918144000.

The previous prime is 201101110111189. The next prime is 201101110111229. The reversal of 201101110111200 is 2111011101102.

201101110111200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29430862984 + ... + 29430869816.

It is an arithmetic number, because the mean of its divisors is an integer number (1232330990352).

Almost surely, 2^{201101110111200} is an apocalyptic number.

201101110111200 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 201101110111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354911325221376).

201101110111200 is an abundant number, since it is smaller than the sum of its proper divisors (508721540331552).

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

201101110111200 is a wasteful number, since it uses less digits than its factorization.

201101110111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13267 (or 13254 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 201101110111200 its reverse (2111011101102), we get a palindrome (203212121212302).

The spelling of 201101110111200 in words is "two hundred one trillion, one hundred one billion, one hundred ten million, one hundred eleven thousand, two hundred".