213122210010 has 192 divisors, whose sum is σ = 538074980352. Its totient is φ = 54010831104.

The previous prime is 213122209939. The next prime is 213122210011. The reversal of 213122210010 is 10012221312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (213122210011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 351107127 + ... + 351107733.

It is an arithmetic number, because the mean of its divisors is an integer number (2802473856).

Almost surely, 2^213122210010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213122210010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269037490176).

213122210010 is an abundant number, since it is smaller than the sum of its proper divisors (324952770342).

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

213122210010 is a wasteful number, since it uses less digits than its factorization.

213122210010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 213122210010 its reverse (10012221312), we get a palindrome (223134431322).

It can be divided in two parts, 21312 and 2210010, that added together give a palindrome (2231322).

The spelling of 213122210010 in words is "two hundred thirteen billion, one hundred twenty-two million, two hundred ten thousand, ten".