10021200200000 has 168 divisors, whose sum is σ = 27115296572448. Its totient is φ = 3644072000000.

The previous prime is 10021200199999. The next prime is 10021200200057. The reversal of 10021200200000 is 200212001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77546 + ... + 4477545.

It is an arithmetic number, because the mean of its divisors is an integer number (161400574836).

Almost surely, 2^{10021200200000} is an apocalyptic number.

10021200200000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021200200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13557648286224).

10021200200000 is an abundant number, since it is smaller than the sum of its proper divisors (17094096372448).

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

10021200200000 is an frugal number, since it uses more digits than its factorization.

10021200200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4555139 (or 4555109 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 10021200200000 its reverse (200212001), we get a palindrome (10021400412001).

The spelling of 10021200200000 in words is "ten trillion, twenty-one billion, two hundred million, two hundred thousand".