2211100020 has 72 divisors (see below), whose sum is σ = 6888294504. Its totient is φ = 573689088.

The previous prime is 2211100013. The next prime is 2211100039. The reversal of 2211100020 is 200011122.

2211100020 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 109244304 + 2101855716 = 10452^2 + 45846^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2211099975 and 2211100011.

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, 159339 + ... + 172658.

It is an arithmetic number, because the mean of its divisors is an integer number (95670757).

Almost surely, 2^2211100020 is an apocalyptic number.

2211100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2211100020 is an abundant number, since it is smaller than the sum of its proper divisors (4677194484).

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

2211100020 is a wasteful number, since it uses less digits than its factorization.

2211100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332049 (or 332044 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2211100020 is about 47022.3353312019. The cubic root of 2211100020 is about 1302.7751406598.

Adding to 2211100020 its reverse (200011122), we get a palindrome (2411111142).

The spelling of 2211100020 in words is "two billion, two hundred eleven million, one hundred thousand, twenty".