2102200110 has 96 divisors (see below), whose sum is σ = 5841774432. Its totient is φ = 522639360.

The previous prime is 2102200081. The next prime is 2102200141. The reversal of 2102200110 is 110022012.

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 = 2102200092 and 2102200101.

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 47 ways as a sum of consecutive naturals, for example, 157290 + ... + 170130.

It is an arithmetic number, because the mean of its divisors is an integer number (60851817).

Almost surely, 2^2102200110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102200110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2920887216).

2102200110 is an abundant number, since it is smaller than the sum of its proper divisors (3739574322).

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

2102200110 is a wasteful number, since it uses less digits than its factorization.

2102200110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12978 (or 12975 counting only the distinct ones).

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

The square root of 2102200110 is about 45849.7558335920. The cubic root of 2102200110 is about 1281.0262176368.

Adding to 2102200110 its reverse (110022012), we get a palindrome (2212222122).

The spelling of 2102200110 in words is "two billion, one hundred two million, two hundred thousand, one hundred ten".