100132321131210 has 128 divisors (see below), whose sum is σ = 255389746210560. Its totient is φ = 25038962601984.

The previous prime is 100132321131121. The next prime is 100132321131217. The reversal of 100132321131210 is 12131123231001.

It is not an unprimeable number, because it can be changed into a prime (100132321131217) 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, 179661492 + ... + 180217968.

It is an arithmetic number, because the mean of its divisors is an integer number (1995232392270).

Almost surely, 2^{100132321131210} is an apocalyptic number.

100132321131210 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 100132321131210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127694873105280).

100132321131210 is an abundant number, since it is smaller than the sum of its proper divisors (155257425079350).

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

100132321131210 is a wasteful number, since it uses less digits than its factorization.

100132321131210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557800.

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

Adding to 100132321131210 its reverse (12131123231001), we get a palindrome (112263444362211).

The spelling of 100132321131210 in words is "one hundred trillion, one hundred thirty-two billion, three hundred twenty-one million, one hundred thirty-one thousand, two hundred ten".