201014100344112 has 160 divisors (see below), whose sum is σ = 584801529354240. Its totient is φ = 58945065984000.

The previous prime is 201014100344069. The next prime is 201014100344131. The reversal of 201014100344112 is 211443001410102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 295282464 + ... + 295962432.

It is an arithmetic number, because the mean of its divisors is an integer number (3655009558464).

Almost surely, 2^{201014100344112} is an apocalyptic number.

201014100344112 is a gapful number since it is divisible by the number (22) 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 201014100344112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292400764677120).

201014100344112 is an abundant number, since it is smaller than the sum of its proper divisors (383787429010128).

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

201014100344112 is a wasteful number, since it uses less digits than its factorization.

201014100344112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698083 (or 698077 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 201014100344112 its reverse (211443001410102), we get a palindrome (412457101754214).

The spelling of 201014100344112 in words is "two hundred one trillion, fourteen billion, one hundred million, three hundred forty-four thousand, one hundred twelve".