101111122012200 has 96 divisors (see below), whose sum is σ = 313446133996800. Its totient is φ = 26962823439360.

The previous prime is 101111122012151. The next prime is 101111122012237. The reversal of 101111122012200 is 2210221111101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101111122012200.

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, 163535241 + ... + 164152359.

It is an arithmetic number, because the mean of its divisors is an integer number (3265063895800).

Almost surely, 2^{101111122012200} is an apocalyptic number.

101111122012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111122012200 is an abundant number, since it is smaller than the sum of its proper divisors (212335011984600).

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

101111122012200 is a wasteful number, since it uses less digits than its factorization.

101111122012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890211 (or 890202 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101111122012200 its reverse (2210221111101), we get a palindrome (103321343123301).

The spelling of 101111122012200 in words is "one hundred one trillion, one hundred eleven billion, one hundred twenty-two million, twelve thousand, two hundred".