2011442100 has 72 divisors (see below), whose sum is σ = 5977096608. Its totient is φ = 521884800.

The previous prime is 2011442093. The next prime is 2011442123. The reversal of 2011442100 is 12441102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2011442100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79506 + ... + 101705.

Almost surely, 2^2011442100 is an apocalyptic number.

2011442100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011442100 is an abundant number, since it is smaller than the sum of its proper divisors (3965654508).

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

2011442100 is a wasteful number, since it uses less digits than its factorization.

2011442100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181265 (or 181258 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2011442100 is about 44849.1036699732. The cubic root of 2011442100 is about 1262.3191728728.

Adding to 2011442100 its reverse (12441102), we get a palindrome (2023883202).

The spelling of 2011442100 in words is "two billion, eleven million, four hundred forty-two thousand, one hundred".