10021200200020 has 24 divisors (see below), whose sum is σ = 21047680063368. Its totient is φ = 4007878243200.

The previous prime is 10021200199999. The next prime is 10021200200057. The reversal of 10021200200020 is 2000200212001.

It can be written as a sum of positive squares in 4 ways, for example, as 937016256016 + 9084183944004 = 967996^2 + 3013998^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 37478251 + ... + 37744690.

It is an arithmetic number, because the mean of its divisors is an integer number (876986669307).

Almost surely, 2^{10021200200020} is an apocalyptic number.

10021200200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021200200020 is an abundant number, since it is smaller than the sum of its proper divisors (11026479863348).

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

10021200200020 is a wasteful number, since it uses less digits than its factorization.

10021200200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75229611 (or 75229609 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10021200200020 its reverse (2000200212001), we get a palindrome (12021400412021).

The spelling of 10021200200020 in words is "ten trillion, twenty-one billion, two hundred million, two hundred thousand, twenty".