201200210022112 has 96 divisors (see below), whose sum is σ = 467398331817984. Its totient is φ = 83430195609600.

The previous prime is 201200210022041. The next prime is 201200210022131. The reversal of 201200210022112 is 211220012002102.

It is a happy number.

201200210022112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31393312 + ... + 37255072.

It is an arithmetic number, because the mean of its divisors is an integer number (4868732623104).

Almost surely, 2^{201200210022112} 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 201200210022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233699165908992).

201200210022112 is an abundant number, since it is smaller than the sum of its proper divisors (266198121795872).

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

201200210022112 is a wasteful number, since it uses less digits than its factorization.

201200210022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5866752 (or 5866744 counting only the distinct ones).

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

Adding to 201200210022112 its reverse (211220012002102), we get a palindrome (412420222024214).

The spelling of 201200210022112 in words is "two hundred one trillion, two hundred billion, two hundred ten million, twenty-two thousand, one hundred twelve".