201011120212200 has 192 divisors, whose sum is σ = 632505617049600. Its totient is φ = 52798266259200.

The previous prime is 201011120212183. The next prime is 201011120212219. The reversal of 201011120212200 is 2212021110102.

201011120212200 is digitally balanced in base 3, 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201011120212200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43064341 + ... + 47503259.

It is an arithmetic number, because the mean of its divisors is an integer number (3294300088800).

Almost surely, 2^{201011120212200} is an apocalyptic number.

201011120212200 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 201011120212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316252808524800).

201011120212200 is an abundant number, since it is smaller than the sum of its proper divisors (431494496837400).

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

201011120212200 is a wasteful number, since it uses less digits than its factorization.

201011120212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4440072 (or 4440063 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201011120212200 its reverse (2212021110102), we get a palindrome (203223141322302).

The spelling of 201011120212200 in words is "two hundred one trillion, eleven billion, one hundred twenty million, two hundred twelve thousand, two hundred".