201211110012220 has 192 divisors, whose sum is σ = 529047975278592. Its totient is φ = 62448454656000.

The previous prime is 201211110012193. The next prime is 201211110012221. The reversal of 201211110012220 is 22210011112102.

It is a junction number, because it is equal to n+sod(n) for n = 201211110012194 and 201211110012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201211110012221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4598773864 + ... + 4598817616.

It is an arithmetic number, because the mean of its divisors is an integer number (2755458204576).

Almost surely, 2^{201211110012220} is an apocalyptic number.

201211110012220 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 201211110012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264523987639296).

201211110012220 is an abundant number, since it is smaller than the sum of its proper divisors (327836865266372).

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

201211110012220 is a wasteful number, since it uses less digits than its factorization.

201211110012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56412 (or 56410 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 201211110012220 its reverse (22210011112102), we get a palindrome (223421121124322).

The spelling of 201211110012220 in words is "two hundred one trillion, two hundred eleven billion, one hundred ten million, twelve thousand, two hundred twenty".