201200011012 has 192 divisors, whose sum is σ = 482297131008. Its totient is φ = 70910784000.

The previous prime is 201200010961. The next prime is 201200011027. The reversal of 201200011012 is 210110002102.

It is a self number, because there is not a number n which added to its sum of digits gives 201200011012.

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 63 ways as a sum of consecutive naturals, for example, 49179087 + ... + 49183177.

It is an arithmetic number, because the mean of its divisors is an integer number (2511964224).

Almost surely, 2^201200011012 is an apocalyptic number.

201200011012 is a gapful number since it is divisible by the number (22) 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 201200011012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241148565504).

201200011012 is an abundant number, since it is smaller than the sum of its proper divisors (281097119996).

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

201200011012 is a wasteful number, since it uses less digits than its factorization.

201200011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4370 (or 4368 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 201200011012 its reverse (210110002102), we get a palindrome (411310013114).

The spelling of 201200011012 in words is "two hundred one billion, two hundred million, eleven thousand, twelve".