2011101020 has 24 divisors (see below), whose sum is σ = 4471743024. Its totient is φ = 757120256.

The previous prime is 2011100989. The next prime is 2011101031. The reversal of 2011101020 is 201011102.

It is a junction number, because it is equal to n+sod(n) for n = 2011100989 and 2011101007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2957162 + ... + 2957841.

It is an arithmetic number, because the mean of its divisors is an integer number (186322626).

Almost surely, 2^2011101020 is an apocalyptic number.

2011101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011101020 is an abundant number, since it is smaller than the sum of its proper divisors (2460642004).

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

2011101020 is a wasteful number, since it uses less digits than its factorization.

2011101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5915029 (or 5915027 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 2011101020 is about 44845.3009801473. The cubic root of 2011101020 is about 1262.2478184017.

Adding to 2011101020 its reverse (201011102), we get a palindrome (2212112122).

The spelling of 2011101020 in words is "two billion, eleven million, one hundred one thousand, twenty".