10132243122210 has 128 divisors (see below), whose sum is σ = 26746131529728. Its totient is φ = 2436185472000.

The previous prime is 10132243122167. The next prime is 10132243122217. The reversal of 10132243122210 is 1222134223101.

It is not an unprimeable number, because it can be changed into a prime (10132243122217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21002605 + ... + 21479615.

It is an arithmetic number, because the mean of its divisors is an integer number (208954152576).

Almost surely, 2^{10132243122210} is an apocalyptic number.

10132243122210 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 10132243122210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13373065764864).

10132243122210 is an abundant number, since it is smaller than the sum of its proper divisors (16613888407518).

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

10132243122210 is a wasteful number, since it uses less digits than its factorization.

10132243122210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477560.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10132243122210 its reverse (1222134223101), we get a palindrome (11354377345311).

The spelling of 10132243122210 in words is "ten trillion, one hundred thirty-two billion, two hundred forty-three million, one hundred twenty-two thousand, two hundred ten".