10021102110 has 80 divisors (see below), whose sum is σ = 27270459216. Its totient is φ = 2640079872.

The previous prime is 10021102109. The next prime is 10021102121. The reversal of 10021102110 is 1120112001.

It is a happy number.

10021102110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10021102092 and 10021102101.

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 39 ways as a sum of consecutive naturals, for example, 7299 + ... + 141758.

Almost surely, 2^10021102110 is an apocalyptic number.

10021102110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021102110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13635229608).

10021102110 is an abundant number, since it is smaller than the sum of its proper divisors (17249357106).

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

10021102110 is a wasteful number, since it uses less digits than its factorization.

10021102110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149159 (or 149150 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10021102110 its reverse (1120112001), we get a palindrome (11141214111).

The spelling of 10021102110 in words is "ten billion, twenty-one million, one hundred two thousand, one hundred ten".