201112102222000 has 160 divisors (see below), whose sum is σ = 490782827620800. Its totient is φ = 79701553152000.

The previous prime is 201112102221883. The next prime is 201112102222037. The reversal of 201112102222000 is 222201211102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6166985695 + ... + 6167018305.

It is an arithmetic number, because the mean of its divisors is an integer number (3067392672630).

Almost surely, 2^{201112102222000} is an apocalyptic number.

201112102222000 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 201112102222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245391413810400).

201112102222000 is an abundant number, since it is smaller than the sum of its proper divisors (289670725398800).

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

201112102222000 is a wasteful number, since it uses less digits than its factorization.

201112102222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61032 (or 61016 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 201112102222000 its reverse (222201211102), we get a palindrome (201334303433102).

The spelling of 201112102222000 in words is "two hundred one trillion, one hundred twelve billion, one hundred two million, two hundred twenty-two thousand".