100213320120100 has 72 divisors (see below), whose sum is σ = 239897790871200. Its totient is φ = 36031755513600.

The previous prime is 100213320120083. The next prime is 100213320120119. The reversal of 100213320120100 is 1021023312001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 511716810 + ... + 511912609.

It is an arithmetic number, because the mean of its divisors is an integer number (3331913762100).

Almost surely, 2^{100213320120100} is an apocalyptic number.

100213320120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100213320120100 is an abundant number, since it is smaller than the sum of its proper divisors (139684470751100).

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

100213320120100 is a wasteful number, since it uses less digits than its factorization.

100213320120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023629533 (or 1023629526 counting only the distinct ones).

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

Adding to 100213320120100 its reverse (1021023312001), we get a palindrome (101234343432101).

The spelling of 100213320120100 in words is "one hundred trillion, two hundred thirteen billion, three hundred twenty million, one hundred twenty thousand, one hundred".