10021200120200 has 48 divisors (see below), whose sum is σ = 23301648109860. Its totient is φ = 4008074400000.

The previous prime is 10021200120161. The next prime is 10021200120223. The reversal of 10021200120200 is 202100212001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 8589975509956 + 1431224610244 = 2930866^2 + 1196338^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 550151 + ... + 4510550.

Almost surely, 2^{10021200120200} is an apocalyptic number.

10021200120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021200120200 is an abundant number, since it is smaller than the sum of its proper divisors (13280447989660).

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

10021200120200 is a wasteful number, since it uses less digits than its factorization.

10021200120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5070618 (or 5070609 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10021200120200 its reverse (202100212001), we get a palindrome (10223300332201).

The spelling of 10021200120200 in words is "ten trillion, twenty-one billion, two hundred million, one hundred twenty thousand, two hundred".