10021312021200 has 120 divisors (see below), whose sum is σ = 33791160962400. Its totient is φ = 2531699873280.

The previous prime is 10021312021177. The next prime is 10021312021207. The reversal of 10021312021200 is 212021312001.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10021312021200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021312021207) 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 23 ways as a sum of consecutive naturals, for example, 219742815 + ... + 219788414.

It is an arithmetic number, because the mean of its divisors is an integer number (281593008020).

Almost surely, 2^{10021312021200} is an apocalyptic number.

10021312021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021312021200 is an abundant number, since it is smaller than the sum of its proper divisors (23769848941200).

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

10021312021200 is a wasteful number, since it uses less digits than its factorization.

10021312021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439531269 (or 439531258 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10021312021200 its reverse (212021312001), we get a palindrome (10233333333201).

The spelling of 10021312021200 in words is "ten trillion, twenty-one billion, three hundred twelve million, twenty-one thousand, two hundred".