201112220221220 has 192 divisors, whose sum is σ = 528120118665216. Its totient is φ = 62497316344320.

The previous prime is 201112220221181. The next prime is 201112220221259. The reversal of 201112220221220 is 22122022211102.

It is an interprime number because it is at equal distance from previous prime (201112220221181) and next prime (201112220221259).

It is a super-2 number, since 2×201112220221220² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 201112220221192 and 201112220221201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1956997559 + ... + 1957100321.

It is an arithmetic number, because the mean of its divisors is an integer number (2750625618048).

Almost surely, 2^{201112220221220} is an apocalyptic number.

201112220221220 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 201112220221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264060059332608).

201112220221220 is an abundant number, since it is smaller than the sum of its proper divisors (327007898443996).

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

201112220221220 is a wasteful number, since it uses less digits than its factorization.

201112220221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106570 (or 106568 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 201112220221220 its reverse (22122022211102), we get a palindrome (223234242432322).

The spelling of 201112220221220 in words is "two hundred one trillion, one hundred twelve billion, two hundred twenty million, two hundred twenty-one thousand, two hundred twenty".