100331102233120 has 192 divisors, whose sum is σ = 261762657367680. Its totient is φ = 36035295436800.

The previous prime is 100331102233111. The next prime is 100331102233171. The reversal of 100331102233120 is 21332201133001.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 100331102233091 and 100331102233100.

It is an unprimeable number.

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, 587302276 + ... + 587473084.

It is an arithmetic number, because the mean of its divisors is an integer number (1363347173790).

Almost surely, 2^{100331102233120} is an apocalyptic number.

100331102233120 is a gapful number since it is divisible by the number (10) 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 100331102233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130881328683840).

100331102233120 is an abundant number, since it is smaller than the sum of its proper divisors (161431555134560).

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

100331102233120 is a wasteful number, since it uses less digits than its factorization.

100331102233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174939 (or 174931 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 100331102233120 its reverse (21332201133001), we get a palindrome (121663303366121).

The spelling of 100331102233120 in words is "one hundred trillion, three hundred thirty-one billion, one hundred two million, two hundred thirty-three thousand, one hundred twenty".