101222011112200 has 48 divisors (see below), whose sum is σ = 256735828190160. Its totient is φ = 36808004040000.

The previous prime is 101222011112191. The next prime is 101222011112227. The reversal of 101222011112200 is 2211110222101.

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, 23005000326 + ... + 23005004725.

It is an arithmetic number, because the mean of its divisors is an integer number (5348663087295).

Almost surely, 2^{101222011112200} is an apocalyptic number.

101222011112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101222011112200 is an abundant number, since it is smaller than the sum of its proper divisors (155513817077960).

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

101222011112200 is a wasteful number, since it uses less digits than its factorization.

101222011112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46010005078 (or 46010005069 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101222011112200 its reverse (2211110222101), we get a palindrome (103433121334301).

The spelling of 101222011112200 in words is "one hundred one trillion, two hundred twenty-two billion, eleven million, one hundred twelve thousand, two hundred".