201111010000000 has 256 divisors, whose sum is σ = 527171306688000. Its totient is φ = 76210416000000.

The previous prime is 201111009999953. The next prime is 201111010000003. The reversal of 201111010000000 is 10111102.

It is not an unprimeable number, because it can be changed into a prime (201111010000003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189470761 + ... + 190529239.

It is an arithmetic number, because the mean of its divisors is an integer number (2059262916750).

Almost surely, 2^{201111010000000} is an apocalyptic number.

201111010000000 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 201111010000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263585653344000).

201111010000000 is an abundant number, since it is smaller than the sum of its proper divisors (326060296688000).

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

201111010000000 is an frugal number, since it uses more digits than its factorization.

201111010000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058547 (or 1058505 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 201111010000000 its reverse (10111102), we get a palindrome (201111020111102).

The spelling of 201111010000000 in words is "two hundred one trillion, one hundred eleven billion, ten million", and thus it is an aban number.