201002100222112 has 96 divisors (see below), whose sum is σ = 453396409804800. Its totient is φ = 85926407454720.

The previous prime is 201002100222103. The next prime is 201002100222137. The reversal of 201002100222112 is 211222001200102.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340758538 + ... + 341347894.

It is an arithmetic number, because the mean of its divisors is an integer number (4722879268800).

Almost surely, 2^{201002100222112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201002100222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226698204902400).

201002100222112 is an abundant number, since it is smaller than the sum of its proper divisors (252394309582688).

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

201002100222112 is a wasteful number, since it uses less digits than its factorization.

201002100222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593214 (or 593206 counting only the distinct ones).

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

Adding to 201002100222112 its reverse (211222001200102), we get a palindrome (412224101422214).

The spelling of 201002100222112 in words is "two hundred one trillion, two billion, one hundred million, two hundred twenty-two thousand, one hundred twelve".