100200120111200 has 72 divisors (see below), whose sum is σ = 245496625147872. Its totient is φ = 39935354641920.

The previous prime is 100200120111187. The next prime is 100200120111367. The reversal of 100200120111200 is 2111021002001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 225861704 + ... + 226304903.

It is an arithmetic number, because the mean of its divisors is an integer number (3409675349276).

Almost surely, 2^{100200120111200} is an apocalyptic number.

100200120111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100200120111200 is an abundant number, since it is smaller than the sum of its proper divisors (145296505036672).

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

100200120111200 is a wasteful number, since it uses less digits than its factorization.

100200120111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452166904 (or 452166891 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100200120111200 its reverse (2111021002001), we get a palindrome (102311141113201).

The spelling of 100200120111200 in words is "one hundred trillion, two hundred billion, one hundred twenty million, one hundred eleven thousand, two hundred".