100322312213100 has 72 divisors (see below), whose sum is σ = 290319164304400. Its totient is φ = 26747706516480.

The previous prime is 100322312213083. The next prime is 100322312213171. The reversal of 100322312213100 is 1312213223001.

100322312213100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100322312213100² (a number of 29 digits) contains 22 as substring.

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, 29050537 + ... + 32319936.

Almost surely, 2^{100322312213100} is an apocalyptic number.

100322312213100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100322312213100 is an abundant number, since it is smaller than the sum of its proper divisors (189996852091300).

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

100322312213100 is a wasteful number, since it uses less digits than its factorization.

100322312213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61375939 (or 61375932 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 100322312213100 its reverse (1312213223001), we get a palindrome (101634525436101).

The spelling of 100322312213100 in words is "one hundred trillion, three hundred twenty-two billion, three hundred twelve million, two hundred thirteen thousand, one hundred".