201001120 has 48 divisors (see below), whose sum is σ = 481398120. Its totient is φ = 79294464.

The previous prime is 201001109. The next prime is 201001153. The reversal of 201001120 is 21100102.

It can be written as a sum of positive squares in 4 ways, for example, as 162511504 + 38489616 = 12748^2 + 6204^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3076 + ... + 20284.

Almost surely, 2^201001120 is an apocalyptic number.

201001120 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 201001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240699060).

201001120 is an abundant number, since it is smaller than the sum of its proper divisors (280397000).

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

201001120 is a wasteful number, since it uses less digits than its factorization.

201001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17297 (or 17289 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 201001120 is about 14177.4863780573. The cubic root of 201001120 is about 585.7776882727. Note that the first 3 decimals are identical.

Adding to 201001120 its reverse (21100102), we get a palindrome (222101222).

The spelling of 201001120 in words is "two hundred one million, one thousand, one hundred twenty".