201101000 has 32 divisors (see below), whose sum is σ = 470578680. Its totient is φ = 80440000.

The previous prime is 201100961. The next prime is 201101003. The reversal of 201101000 is 101102.

It is a happy number.

201101000 is digitally balanced in base 3, 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 4 ways, for example, as 18472804 + 182628196 = 4298^2 + 13514^2 .

It is a super-2 number, since 2×201101000² = 80883224402000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (201101003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99551 + ... + 101550.

Almost surely, 2^201101000 is an apocalyptic number.

201101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201101000 is an abundant number, since it is smaller than the sum of its proper divisors (269477680).

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

201101000 is a wasteful number, since it uses less digits than its factorization.

201101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201122 (or 201108 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 201101000 is about 14181.0084267657. The cubic root of 201101000 is about 585.8746989877.

Adding to 201101000 its reverse (101102), we get a palindrome (201202102).

The spelling of 201101000 in words is "two hundred one million, one hundred one thousand".