101132323011210 has 512 divisors, whose sum is σ = 274886500995072. Its totient is φ = 23695512698880.

The previous prime is 101132323011151. The next prime is 101132323011217. The reversal of 101132323011210 is 12110323231101.

It is not an unprimeable number, because it can be changed into a prime (101132323011217) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 17149788982 + ... + 17149794878.

It is an arithmetic number, because the mean of its divisors is an integer number (536887697256).

Almost surely, 2^{101132323011210} is an apocalyptic number.

101132323011210 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 101132323011210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137443250497536).

101132323011210 is an abundant number, since it is smaller than the sum of its proper divisors (173754177983862).

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

101132323011210 is a wasteful number, since it uses less digits than its factorization.

101132323011210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6386.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 101132323011210 its reverse (12110323231101), we get a palindrome (113242646242311).

The spelling of 101132323011210 in words is "one hundred one trillion, one hundred thirty-two billion, three hundred twenty-three million, eleven thousand, two hundred ten".