2100130011 has 40 divisors (see below), whose sum is σ = 3611336960. Its totient is φ = 1191395952.

The previous prime is 2100130007. The next prime is 2100130013. The reversal of 2100130011 is 1100310012.

It is not a de Polignac number, because 2100130011 - 2² = 2100130007 is a prime.

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 = 2100129975 and 2100130002.

It is not an unprimeable number, because it can be changed into a prime (2100130013) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 65490 + ... + 92136.

It is an arithmetic number, because the mean of its divisors is an integer number (90283424).

Almost surely, 2^2100130011 is an apocalyptic number.

2100130011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2100130011 is a deficient number, since it is larger than the sum of its proper divisors (1511206949).

2100130011 is a wasteful number, since it uses less digits than its factorization.

2100130011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26805 (or 26796 counting only the distinct ones).

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

The square root of 2100130011 is about 45827.1754639101. The cubic root of 2100130011 is about 1280.6055913275.

Adding to 2100130011 its reverse (1100310012), we get a palindrome (3200440023).

The spelling of 2100130011 in words is "two billion, one hundred million, one hundred thirty thousand, eleven".