101222211200200 has 24 divisors (see below), whose sum is σ = 235341641040930. Its totient is φ = 40488884480000.

The previous prime is 101222211200177. The next prime is 101222211200233. The reversal of 101222211200200 is 2002112222101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 96541747220356 + 4680463979844 = 9825566^2 + 2163438^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 253055527801 + ... + 253055528200.

Almost surely, 2^{101222211200200} is an apocalyptic number.

101222211200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101222211200200 is an abundant number, since it is smaller than the sum of its proper divisors (134119429840730).

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

101222211200200 is a wasteful number, since it uses less digits than its factorization.

101222211200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506111056017 (or 506111056008 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101222211200200 its reverse (2002112222101), we get a palindrome (103224323422301).

The spelling of 101222211200200 in words is "one hundred one trillion, two hundred twenty-two billion, two hundred eleven million, two hundred thousand, two hundred".