2111101011 has 24 divisors (see below), whose sum is σ = 3069480960. Its totient is φ = 1398150000.

The previous prime is 2111101009. The next prime is 2111101019. The reversal of 2111101011 is 1101011112.

It is not a de Polignac number, because 2111101011 - 2¹ = 2111101009 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 = 2111100984 and 2111101002.

It is not an unprimeable number, because it can be changed into a prime (2111101019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1081086 + ... + 1083036.

It is an arithmetic number, because the mean of its divisors is an integer number (127895040).

Almost surely, 2^2111101011 is an apocalyptic number.

2111101011 is a deficient number, since it is larger than the sum of its proper divisors (958379949).

2111101011 is a wasteful number, since it uses less digits than its factorization.

2111101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2687 (or 2684 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

The square root of 2111101011 is about 45946.7192626416. The cubic root of 2111101011 is about 1282.8316646177.

Adding to 2111101011 its reverse (1101011112), we get a palindrome (3212112123).

The spelling of 2111101011 in words is "two billion, one hundred eleven million, one hundred one thousand, eleven".