201100112211222 has 288 divisors, whose sum is σ = 542821232959200. Its totient is φ = 53457719648256.

The previous prime is 201100112211091. The next prime is 201100112211253. The reversal of 201100112211222 is 222112211001102.

201100112211222 is a `hidden beast` number, since 20 + 1 + 100 + 112 + 211 + 222 = 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 = 201100112211195 and 201100112211204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7036624929 + ... + 7036653507.

It is an arithmetic number, because the mean of its divisors is an integer number (1884795947775).

Almost surely, 2^{201100112211222} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201100112211222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271410616479600).

201100112211222 is an abundant number, since it is smaller than the sum of its proper divisors (341721120747978).

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

201100112211222 is a wasteful number, since it uses less digits than its factorization.

201100112211222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33980 (or 33970 counting only the distinct ones).

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

Adding to 201100112211222 its reverse (222112211001102), we get a palindrome (423212323212324).

The spelling of 201100112211222 in words is "two hundred one trillion, one hundred billion, one hundred twelve million, two hundred eleven thousand, two hundred twenty-two".