201102120 has 96 divisors (see below), whose sum is σ = 657563400. Its totient is φ = 53300736.

The previous prime is 201102119. The next prime is 201102151. The reversal of 201102120 is 21201102.

It can be written as a sum of positive squares in 4 ways, for example, as 180472356 + 20629764 = 13434^2 + 4542^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60666 + ... + 63894.

Almost surely, 2^201102120 is an apocalyptic number.

201102120 is a gapful number since it is divisible by the number (20) 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 201102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328781700).

201102120 is an abundant number, since it is smaller than the sum of its proper divisors (456461280).

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

201102120 is a wasteful number, since it uses less digits than its factorization.

201102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3419 (or 3412 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 201102120 is about 14181.0479161450. The cubic root of 201102120 is about 585.8757866310.

Adding to 201102120 its reverse (21201102), we get a palindrome (222303222).

The spelling of 201102120 in words is "two hundred one million, one hundred two thousand, one hundred twenty".