100100221310320 has 160 divisors (see below), whose sum is σ = 290168053770240. Its totient is φ = 31199271966720.

The previous prime is 100100221310303. The next prime is 100100221310321. The reversal of 100100221310320 is 23013122001001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 100100221310294 and 100100221310303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100221310321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269369764 + ... + 269741116.

It is an arithmetic number, because the mean of its divisors is an integer number (1813550336064).

Almost surely, 2^{100100221310320} is an apocalyptic number.

100100221310320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100100221310320 is an abundant number, since it is smaller than the sum of its proper divisors (190067832459920).

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

100100221310320 is a wasteful number, since it uses less digits than its factorization.

100100221310320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415143 (or 415137 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100100221310320 its reverse (23013122001001), we get a palindrome (123113343311321).

It can be divided in two parts, 1001002 and 21310320, that added together give a palindrome (22311322).

The spelling of 100100221310320 in words is "one hundred trillion, one hundred billion, two hundred twenty-one million, three hundred ten thousand, three hundred twenty".