201102112 has 24 divisors (see below), whose sum is σ = 419210316. Its totient is φ = 94636032.

The previous prime is 201102103. The next prime is 201102119. The reversal of 201102112 is 211201102.

201102112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 148742416 + 52359696 = 12196^2 + 7236^2 .

It is not an unprimeable number, because it can be changed into a prime (201102119) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 184293 + ... + 185380.

Almost surely, 2^201102112 is an apocalyptic number.

It is an amenable number.

201102112 is an abundant number, since it is smaller than the sum of its proper divisors (218108204).

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

201102112 is a wasteful number, since it uses less digits than its factorization.

201102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369700 (or 369692 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 201102112 is about 14181.0476340784. The cubic root of 201102112 is about 585.8757788621.

Adding to 201102112 its reverse (211201102), we get a palindrome (412303214).

It can be divided in two parts, 20110 and 2112, that added together give a palindrome (22222).

The spelling of 201102112 in words is "two hundred one million, one hundred two thousand, one hundred twelve".