201100310112 has 192 divisors, whose sum is σ = 624435678720. Its totient is φ = 56071471104.

The previous prime is 201100310111. The next prime is 201100310113. The reversal of 201100310112 is 211013001102.

It is an interprime number because it is at equal distance from previous prime (201100310111) and next prime (201100310113).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201100310111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361008 + ... + 729744.

It is an arithmetic number, because the mean of its divisors is an integer number (3252269160).

Almost surely, 2^201100310112 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 201100310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312217839360).

201100310112 is an abundant number, since it is smaller than the sum of its proper divisors (423335368608).

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

201100310112 is a wasteful number, since it uses less digits than its factorization.

201100310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368805 (or 368797 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 201100310112 its reverse (211013001102), we get a palindrome (412113311214).

The spelling of 201100310112 in words is "two hundred one billion, one hundred million, three hundred ten thousand, one hundred twelve".