10020021021200 has 240 divisors, whose sum is σ = 24774791343120. Its totient is φ = 3892795146240.

The previous prime is 10020021021107. The next prime is 10020021021229. The reversal of 10020021021200 is 212012002001.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 9942745916944 + 77275104256 = 3153212^2 + 277984^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2426740736 + ... + 2426744864.

It is an arithmetic number, because the mean of its divisors is an integer number (103228297263).

Almost surely, 2^{10020021021200} is an apocalyptic number.

10020021021200 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 10020021021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12387395671560).

10020021021200 is an abundant number, since it is smaller than the sum of its proper divisors (14754770321920).

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

10020021021200 is a wasteful number, since it uses less digits than its factorization.

10020021021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5326 (or 5315 counting only the distinct ones).

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

Adding to 10020021021200 its reverse (212012002001), we get a palindrome (10232033023201).

It can be divided in two parts, 1002002 and 1021200, that added together give a palindrome (2023202).

The spelling of 10020021021200 in words is "ten trillion, twenty billion, twenty-one million, twenty-one thousand, two hundred".