2102110010 has 192 divisors, whose sum is σ = 5424765696. Its totient is φ = 568719360.

The previous prime is 2102110007. The next prime is 2102110013. The reversal of 2102110010 is 100112012.

It is an interprime number because it is at equal distance from previous prime (2102110007) and next prime (2102110013).

It is a self number, because there is not a number n which added to its sum of digits gives 2102110010.

It is not an unprimeable number, because it can be changed into a prime (2102110013) 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 95 ways as a sum of consecutive naturals, for example, 1871309 + ... + 1872431.

It is an arithmetic number, because the mean of its divisors is an integer number (28253988).

Almost surely, 2^2102110010 is an apocalyptic number.

2102110010 is an abundant number, since it is smaller than the sum of its proper divisors (3322655686).

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

2102110010 is a wasteful number, since it uses less digits than its factorization.

2102110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1178 counting only the distinct ones).

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

The square root of 2102110010 is about 45848.7732660319. The cubic root of 2102110010 is about 1281.0079158410.

Adding to 2102110010 its reverse (100112012), we get a palindrome (2202222022).

The spelling of 2102110010 in words is "two billion, one hundred two million, one hundred ten thousand, ten".