4011000100 has 72 divisors (see below), whose sum is σ = 9132359936. Its totient is φ = 1527120000.

The previous prime is 4011000067. The next prime is 4011000151. The reversal of 4011000100 is 10001104.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 178495 + ... + 199705.

Almost surely, 2^4011000100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4011000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4566179968).

4011000100 is an abundant number, since it is smaller than the sum of its proper divisors (5121359836).

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

4011000100 is a wasteful number, since it uses less digits than its factorization.

4011000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21317 (or 21310 counting only the distinct ones).

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

The square root of 4011000100 is about 63332.4569237607. The cubic root of 4011000100 is about 1588.8548509796.

Adding to 4011000100 its reverse (10001104), we get a palindrome (4021001204).

The spelling of 4011000100 in words is "four billion, eleven million, one hundred", and thus it is an aban number.