201112112210220 has 288 divisors, whose sum is σ = 653116505408640. Its totient is φ = 49914589962240.

The previous prime is 201112112210173. The next prime is 201112112210249. The reversal of 201112112210220 is 22012211211102.

201112112210220 is a `hidden beast` number, since 2 + 0 + 1 + 11 + 211 + 221 + 0 + 220 = 666.

It is a super-2 number, since 2×201112112210220² (a number of 29 digits) contains 22 as substring.

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 = 201112112210193 and 201112112210202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 223012630 + ... + 223912610.

It is an arithmetic number, because the mean of its divisors is an integer number (2267765643780).

Almost surely, 2^{201112112210220} is an apocalyptic number.

201112112210220 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 201112112210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326558252704320).

201112112210220 is an abundant number, since it is smaller than the sum of its proper divisors (452004393198420).

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

201112112210220 is a wasteful number, since it uses less digits than its factorization.

201112112210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900825 (or 900820 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 201112112210220 its reverse (22012211211102), we get a palindrome (223124323421322).

The spelling of 201112112210220 in words is "two hundred one trillion, one hundred twelve billion, one hundred twelve million, two hundred ten thousand, two hundred twenty".