10121212110 has 64 divisors (see below), whose sum is σ = 24736702464. Its totient is φ = 2649628800.

The previous prime is 10121212099. The next prime is 10121212139. The reversal of 10121212110 is 1121212101.

10121212110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10121212110² (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 995955 + ... + 1006065.

It is an arithmetic number, because the mean of its divisors is an integer number (386510976).

Almost surely, 2^10121212110 is an apocalyptic number.

10121212110 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 10121212110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12368351232).

10121212110 is an abundant number, since it is smaller than the sum of its proper divisors (14615490354).

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

10121212110 is a wasteful number, since it uses less digits than its factorization.

10121212110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10729.

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

Adding to 10121212110 its reverse (1121212101), we get a palindrome (11242424211).

Subtracting from 10121212110 its reverse (1121212101), we obtain a palindrome (9000000009).

The spelling of 10121212110 in words is "ten billion, one hundred twenty-one million, two hundred twelve thousand, one hundred ten".