100221232130100 has 90 divisors (see below), whose sum is σ = 324877641018854. Its totient is φ = 26725661899200.

The previous prime is 100221232130087. The next prime is 100221232130153. The reversal of 100221232130100 is 1031232122001.

100221232130100 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 212 + 321 + 30 + 100 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 20105915217444 + 80115316912656 = 4483962^2 + 8950716^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 6186487711 + ... + 6186503910.

Almost surely, 2^{100221232130100} is an apocalyptic number.

100221232130100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221232130100 is an abundant number, since it is smaller than the sum of its proper divisors (224656408888754).

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

100221232130100 is a wasteful number, since it uses less digits than its factorization.

100221232130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12372991647 (or 12372991631 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100221232130100 its reverse (1031232122001), we get a palindrome (101252464252101).

The spelling of 100221232130100 in words is "one hundred trillion, two hundred twenty-one billion, two hundred thirty-two million, one hundred thirty thousand, one hundred".