2102012010 has 96 divisors (see below), whose sum is σ = 6256897920. Its totient is φ = 479620224.

The previous prime is 2102011981. The next prime is 2102012027. The reversal of 2102012010 is 102102012.

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 = 2102011983 and 2102012001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 402496 + ... + 407684.

It is an arithmetic number, because the mean of its divisors is an integer number (65176020).

Almost surely, 2^2102012010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102012010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3128448960).

2102012010 is an abundant number, since it is smaller than the sum of its proper divisors (4154885910).

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

2102012010 is a wasteful number, since it uses less digits than its factorization.

2102012010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5852 (or 5849 counting only the distinct ones).

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

The square root of 2102012010 is about 45847.7045226912. The cubic root of 2102012010 is about 1280.9880087435.

Adding to 2102012010 its reverse (102102012), we get a palindrome (2204114022).

The spelling of 2102012010 in words is "two billion, one hundred two million, twelve thousand, ten".