201211010000000 has 1024 divisors, whose sum is σ = 672787090160640. Its totient is φ = 57888000000000.

The previous prime is 201211009999981. The next prime is 201211010000029. The reversal of 201211010000000 is 10112102.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10009989950 + ... + 10010010050.

It is an arithmetic number, because the mean of its divisors is an integer number (657018642735).

Almost surely, 2^{201211010000000} is an apocalyptic number.

201211010000000 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 201211010000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336393545080320).

201211010000000 is an abundant number, since it is smaller than the sum of its proper divisors (471576080160640).

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

201211010000000 is an frugal number, since it uses more digits than its factorization.

201211010000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20181 (or 20139 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 201211010000000 its reverse (10112102), we get a palindrome (201211020112102).

The spelling of 201211010000000 in words is "two hundred one trillion, two hundred eleven billion, ten million", and thus it is an aban number.