10102102206 has 48 divisors (see below), whose sum is σ = 23534684544. Its totient is φ = 2831823072.

The previous prime is 10102102201. The next prime is 10102102207. The reversal of 10102102206 is 60220120101.

10102102206 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102102201) by changing a digit.

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, 75165 + ... + 160791.

It is an arithmetic number, because the mean of its divisors is an integer number (490305928).

Almost surely, 2^10102102206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10102102206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11767342272).

10102102206 is an abundant number, since it is smaller than the sum of its proper divisors (13432582338).

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

10102102206 is an equidigital number, since it uses as much as digits as its factorization.

10102102206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85745 (or 85692 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10102102206 its reverse (60220120101), we get a palindrome (70322222307).

The spelling of 10102102206 in words is "ten billion, one hundred two million, one hundred two thousand, two hundred six".