100011222112100 has 72 divisors (see below), whose sum is σ = 239153847757440. Its totient is φ = 36068447882880.

The previous prime is 100011222112031. The next prime is 100011222112111. The reversal of 100011222112100 is 1211222110001.

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, 894498860 + ... + 894610659.

Almost surely, 2^{100011222112100} is an apocalyptic number.

100011222112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011222112100 is an abundant number, since it is smaller than the sum of its proper divisors (139142625645340).

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

100011222112100 is a wasteful number, since it uses less digits than its factorization.

100011222112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789109589 (or 1789109582 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100011222112100 its reverse (1211222110001), we get a palindrome (101222444222101).

The spelling of 100011222112100 in words is "one hundred trillion, eleven billion, two hundred twenty-two million, one hundred twelve thousand, one hundred".