100011121212200 has 48 divisors (see below), whose sum is σ = 253664571080160. Its totient is φ = 36367680440000.

The previous prime is 100011121212187. The next prime is 100011121212217. The reversal of 100011121212200 is 2212121110001.

It is a super-2 number, since 2×100011121212200² (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 11 ways as a sum of consecutive naturals, for example, 22729798076 + ... + 22729802475.

It is an arithmetic number, because the mean of its divisors is an integer number (5284678564170).

Almost surely, 2^{100011121212200} is an apocalyptic number.

100011121212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011121212200 is an abundant number, since it is smaller than the sum of its proper divisors (153653449867960).

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

100011121212200 is a wasteful number, since it uses less digits than its factorization.

100011121212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45459600578 (or 45459600569 counting only the distinct ones).

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

Adding to 100011121212200 its reverse (2212121110001), we get a palindrome (102223242322201).

The spelling of 100011121212200 in words is "one hundred trillion, eleven billion, one hundred twenty-one million, two hundred twelve thousand, two hundred".