2011420100 has 72 divisors (see below), whose sum is σ = 4498102728. Its totient is φ = 780364800.

The previous prime is 2011420097. The next prime is 2011420129. The reversal of 2011420100 is 10241102.

It can be written as a sum of positive squares in 12 ways, for example, as 1696286596 + 315133504 = 41186^2 + 17752^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 443042 + ... + 447558.

It is an arithmetic number, because the mean of its divisors is an integer number (62473649).

Almost surely, 2^2011420100 is an apocalyptic number.

2011420100 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 2011420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249051364).

2011420100 is an abundant number, since it is smaller than the sum of its proper divisors (2486682628).

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

2011420100 is a wasteful number, since it uses less digits than its factorization.

2011420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4665 (or 4658 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2011420100 is about 44848.8584024164. The cubic root of 2011420100 is about 1262.3145706817.

Adding to 2011420100 its reverse (10241102), we get a palindrome (2021661202).

The spelling of 2011420100 in words is "two billion, eleven million, four hundred twenty thousand, one hundred".