10213122220 has 96 divisors (see below), whose sum is σ = 25008141312. Its totient is φ = 3431248128.

The previous prime is 10213122211. The next prime is 10213122277. The reversal of 10213122220 is 2222131201.

It is a happy number.

10213122220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10213122194 and 10213122203.

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, 1845097 + ... + 1850623.

It is an arithmetic number, because the mean of its divisors is an integer number (260501472).

Almost surely, 2^10213122220 is an apocalyptic number.

10213122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10213122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12504070656).

10213122220 is an abundant number, since it is smaller than the sum of its proper divisors (14795019092).

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

10213122220 is a wasteful number, since it uses less digits than its factorization.

10213122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5807 (or 5805 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10213122220 its reverse (2222131201), we get a palindrome (12435253421).

The spelling of 10213122220 in words is "ten billion, two hundred thirteen million, one hundred twenty-two thousand, two hundred twenty".