2011101300 has 108 divisors (see below), whose sum is σ = 6788623660. Its totient is φ = 495037440.

The previous prime is 2011101289. The next prime is 2011101319. The reversal of 2011101300 is 31011102.

It can be written as a sum of positive squares in 6 ways, for example, as 149523984 + 1861577316 = 12228^2 + 43146^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 74245 + ... + 97644.

Almost surely, 2^2011101300 is an apocalyptic number.

2011101300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011101300 is an abundant number, since it is smaller than the sum of its proper divisors (4777522360).

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

2011101300 is a wasteful number, since it uses less digits than its factorization.

2011101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171922 (or 171912 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 2011101300 is about 44845.3041019904. The cubic root of 2011101300 is about 1262.2478769814.

Adding to 2011101300 its reverse (31011102), we get a palindrome (2042112402).

The spelling of 2011101300 in words is "two billion, eleven million, one hundred one thousand, three hundred".