201111111221220 has 768 divisors, whose sum is σ = 675047374848000. Its totient is φ = 49612226678784.

The previous prime is 201111111221081. The next prime is 201111111221243. The reversal of 201111111221220 is 22122111111102.

It is a happy number.

201111111221220 is a `hidden beast` number, since 2 + 0 + 1 + 111 + 111 + 221 + 220 = 666.

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 = 201111111221193 and 201111111221202.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7611200929 + ... + 7611227351.

It is an arithmetic number, because the mean of its divisors is an integer number (878967936000).

Almost surely, 2^{201111111221220} is an apocalyptic number.

201111111221220 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 201111111221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337523687424000).

201111111221220 is an abundant number, since it is smaller than the sum of its proper divisors (473936263626780).

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

201111111221220 is a wasteful number, since it uses less digits than its factorization.

201111111221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26729 (or 26721 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 201111111221220 its reverse (22122111111102), we get a palindrome (223233222332322).

The spelling of 201111111221220 in words is "two hundred one trillion, one hundred eleven billion, one hundred eleven million, two hundred twenty-one thousand, two hundred twenty".