10210212010110 has 96 divisors (see below), whose sum is σ = 28296847756800. Its totient is φ = 2309702888448.

The previous prime is 10210212010093. The next prime is 10210212010111. The reversal of 10210212010110 is 1101021201201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210212010111) 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 47 ways as a sum of consecutive naturals, for example, 607810 + ... + 4559589.

It is an arithmetic number, because the mean of its divisors is an integer number (294758830800).

Almost surely, 2^{10210212010110} is an apocalyptic number.

10210212010110 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 10210212010110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14148423878400).

10210212010110 is an abundant number, since it is smaller than the sum of its proper divisors (18086635746690).

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

10210212010110 is an equidigital number, since it uses as much as digits as its factorization.

10210212010110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5167610 (or 5167513 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10210212010110 its reverse (1101021201201), we get a palindrome (11311233211311).

The spelling of 10210212010110 in words is "ten trillion, two hundred ten billion, two hundred twelve million, ten thousand, one hundred ten".