2100110012 has 72 divisors (see below), whose sum is σ = 5022707760. Its totient is φ = 755274240.

The previous prime is 2100109997. The next prime is 2100110039.

2100110012 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9437 + ... + 65492.

It is an arithmetic number, because the mean of its divisors is an integer number (69759830).

Almost surely, 2^2100110012 is an apocalyptic number.

2100110012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2100110012 is an abundant number, since it is smaller than the sum of its proper divisors (2922597748).

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

2100110012 is a wasteful number, since it uses less digits than its factorization.

2100110012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74971 (or 74962 counting only the distinct ones).

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

The square root of 2100110012 is about 45826.9572631655. The cubic root of 2100110012 is about 1280.6015263550.

It can be divided in two parts, 21001 and 10012, that multiplied together give a palindrome (210262012).

The spelling of 2100110012 in words is "two billion, one hundred million, one hundred ten thousand, twelve".