10000010221200 has 180 divisors, whose sum is σ = 34734461252868. Its totient is φ = 2664237465600.

The previous prime is 10000010221181. The next prime is 10000010221211. The reversal of 10000010221200 is 212201000001.

It can be written as a sum of positive squares in 6 ways, for example, as 109916119296 + 9890094101904 = 331536^2 + 3144852^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2683120 + ... + 5215280.

Almost surely, 2^{10000010221200} is an apocalyptic number.

10000010221200 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 10000010221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17367230626434).

10000010221200 is an abundant number, since it is smaller than the sum of its proper divisors (24734451031668).

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

10000010221200 is a wasteful number, since it uses less digits than its factorization.

10000010221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2533282 (or 2533268 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10000010221200 its reverse (212201000001), we get a palindrome (10212211221201).

The spelling of 10000010221200 in words is "ten trillion, ten million, two hundred twenty-one thousand, two hundred".