100221110100132 has 192 divisors, whose sum is σ = 283867339284480. Its totient is φ = 26882802008064.

The previous prime is 100221110100131. The next prime is 100221110100173. The reversal of 100221110100132 is 231001011122001.

It is not an unprimeable number, because it can be changed into a prime (100221110100131) 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, 125765013 + ... + 126559395.

It is an arithmetic number, because the mean of its divisors is an integer number (1478475725440).

Almost surely, 2^{100221110100132} is an apocalyptic number.

100221110100132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100221110100132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141933669642240).

100221110100132 is an abundant number, since it is smaller than the sum of its proper divisors (183646229184348).

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

100221110100132 is a wasteful number, since it uses less digits than its factorization.

100221110100132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795130 (or 795128 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 100221110100132 its reverse (231001011122001), we get a palindrome (331222121222133).

The spelling of 100221110100132 in words is "one hundred trillion, two hundred twenty-one billion, one hundred ten million, one hundred thousand, one hundred thirty-two".