201211122200220 has 288 divisors, whose sum is σ = 670240677689856. Its totient is φ = 48455187955200.

The previous prime is 201211122200161. The next prime is 201211122200267. The reversal of 201211122200220 is 22002221112102.

It is a happy number.

201211122200220 is a `hidden beast` number, since 2 + 0 + 1 + 211 + 12 + 220 + 0 + 220 = 666.

201211122200220 is digitally balanced in base 2, base 3 and base 4, because in such bases 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 201211122200193 and 201211122200202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1226882425 + ... + 1227046415.

It is an arithmetic number, because the mean of its divisors is an integer number (2327224575312).

Almost surely, 2^{201211122200220} is an apocalyptic number.

201211122200220 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 201211122200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335120338844928).

201211122200220 is an abundant number, since it is smaller than the sum of its proper divisors (469029555489636).

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

201211122200220 is a wasteful number, since it uses less digits than its factorization.

201211122200220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168121 (or 168116 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201211122200220 its reverse (22002221112102), we get a palindrome (223213343312322).

The spelling of 201211122200220 in words is "two hundred one trillion, two hundred eleven billion, one hundred twenty-two million, two hundred thousand, two hundred twenty".