22102021200200 has 24 divisors (see below), whose sum is σ = 51387199290930. Its totient is φ = 8840808480000.

The previous prime is 22102021200151. The next prime is 22102021200209. The reversal of 22102021200200 is 200212020122.

It can be written as a sum of positive squares in 3 ways, for example, as 21540867393796 + 561153806404 = 4641214^2 + 749102^2 .

It is a super-2 number, since 2×22102021200200² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22102021200209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55255052801 + ... + 55255053200.

Almost surely, 2^{22102021200200} is an apocalyptic number.

22102021200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22102021200200 is an abundant number, since it is smaller than the sum of its proper divisors (29285178090730).

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

22102021200200 is a wasteful number, since it uses less digits than its factorization.

22102021200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110510106017 (or 110510106008 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22102021200200 its reverse (200212020122), we get a palindrome (22302233220322).

The spelling of 22102021200200 in words is "twenty-two trillion, one hundred two billion, twenty-one million, two hundred thousand, two hundred".