2102001012 has 36 divisors (see below), whose sum is σ = 5323876740. Its totient is φ = 699284352.

The previous prime is 2102001007. The next prime is 2102001029. The reversal of 2102001012 is 2101002012.

It can be written as a sum of positive squares in 2 ways, for example, as 1748410596 + 353590416 = 41814^2 + 18804^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 2102000985 and 2102001003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39033 + ... + 75680.

It is an arithmetic number, because the mean of its divisors is an integer number (147885465).

Almost surely, 2^2102001012 is an apocalyptic number.

It is an amenable number.

2102001012 is an abundant number, since it is smaller than the sum of its proper divisors (3221875728).

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

2102001012 is a wasteful number, since it uses less digits than its factorization.

2102001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115232 (or 115227 counting only the distinct ones).

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

The square root of 2102001012 is about 45847.5845819603. The cubic root of 2102001012 is about 1280.9857746411.

Adding to 2102001012 its reverse (2101002012), we get a palindrome (4203003024).

The spelling of 2102001012 in words is "two billion, one hundred two million, one thousand, twelve".