201001100 has 72 divisors (see below), whose sum is σ = 449794128. Its totient is φ = 77932800.

The previous prime is 201001067. The next prime is 201001109. The reversal of 201001100 is 1100102.

It is a happy number.

201001100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (201001109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 506102 + ... + 506498.

Almost surely, 2^201001100 is an apocalyptic number.

201001100 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 201001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224897064).

201001100 is an abundant number, since it is smaller than the sum of its proper divisors (248793028).

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

201001100 is a wasteful number, since it uses less digits than its factorization.

201001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 548 counting only the distinct ones).

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

The square root of 201001100 is about 14177.4856727136. The cubic root of 201001100 is about 585.7776688440. Note that the first 3 decimals are identical.

Adding to 201001100 its reverse (1100102), we get a palindrome (202101202).

The spelling of 201001100 in words is "two hundred one million, one thousand, one hundred".