10222002021200 has 30 divisors (see below), whose sum is σ = 24558359856894. Its totient is φ = 4088800808320.

The previous prime is 10222002021199. The next prime is 10222002021227. The reversal of 10222002021200 is 212020022201.

It can be written as a sum of positive squares in 3 ways, for example, as 1206851650624 + 9015150370576 = 1098568^2 + 3002524^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12777502127 + ... + 12777502926.

Almost surely, 2^{10222002021200} is an apocalyptic number.

10222002021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222002021200 is an abundant number, since it is smaller than the sum of its proper divisors (14336357835694).

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

10222002021200 is a wasteful number, since it uses less digits than its factorization.

10222002021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25555005071 (or 25555005060 counting only the distinct ones).

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

Adding to 10222002021200 its reverse (212020022201), we get a palindrome (10434022043401).

The spelling of 10222002021200 in words is "ten trillion, two hundred twenty-two billion, two million, twenty-one thousand, two hundred".