101111111200200 has 96 divisors (see below), whose sum is σ = 313858507484160. Its totient is φ = 26927344684800.

The previous prime is 101111111200189. The next prime is 101111111200207. The reversal of 101111111200200 is 2002111111101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (101111111200207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110852616 + ... + 111761015.

It is an arithmetic number, because the mean of its divisors is an integer number (3269359452960).

Almost surely, 2^{101111111200200} is an apocalyptic number.

101111111200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111111200200 is an abundant number, since it is smaller than the sum of its proper divisors (212747396283960).

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

101111111200200 is a wasteful number, since it uses less digits than its factorization.

101111111200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222614407 (or 222614398 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101111111200200 its reverse (2002111111101), we get a palindrome (103113222311301).

It can be divided in two parts, 10111111 and 1200200, that added together give a palindrome (11311311).

The spelling of 101111111200200 in words is "one hundred one trillion, one hundred eleven billion, one hundred eleven million, two hundred thousand, two hundred".