201101100 has 72 divisors (see below), whose sum is σ = 587701968. Its totient is φ = 53088000.

The previous prime is 201101093. The next prime is 201101137. The reversal of 201101100 is 1101102.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26982 + ... + 33618.

Almost surely, 2^201101100 is an apocalyptic number.

201101100 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 201101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293850984).

201101100 is an abundant number, since it is smaller than the sum of its proper divisors (386600868).

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

201101100 is a wasteful number, since it uses less digits than its factorization.

201101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6755 (or 6748 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 201101100 is about 14181.0119526076. The cubic root of 201101100 is about 585.8747960989.

Adding to 201101100 its reverse (1101102), we get a palindrome (202202202).

The spelling of 201101100 in words is "two hundred one million, one hundred one thousand, one hundred".