10213213122 has 96 divisors (see below), whose sum is σ = 25693424640. Its totient is φ = 2871849600.

The previous prime is 10213213091. The next prime is 10213213133. The reversal of 10213213122 is 22131231201.

10213213122 is a `hidden beast` number, since 10 + 21 + 321 + 312 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10213213095 and 10213213104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2199279 + ... + 2203917.

It is an arithmetic number, because the mean of its divisors is an integer number (267639840).

Almost surely, 2^10213213122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10213213122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12846712320).

10213213122 is an abundant number, since it is smaller than the sum of its proper divisors (15480211518).

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

10213213122 is a wasteful number, since it uses less digits than its factorization.

10213213122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4928 (or 4925 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10213213122 its reverse (22131231201), we get a palindrome (32344444323).

The spelling of 10213213122 in words is "ten billion, two hundred thirteen million, two hundred thirteen thousand, one hundred twenty-two".