10011221032000 has 112 divisors (see below), whose sum is σ = 24800754399408. Its totient is φ = 4003201843200.

The previous prime is 10011221031989. The next prime is 10011221032027. The reversal of 10011221032000 is 23012211001.

It can be written as a sum of positive squares in 8 ways, for example, as 1003731474496 + 9007489557504 = 1001864^2 + 3001248^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24896542 + ... + 25295458.

Almost surely, 2^{10011221032000} is an apocalyptic number.

10011221032000 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 10011221032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12400377199704).

10011221032000 is an abundant number, since it is smaller than the sum of its proper divisors (14789533367408).

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

10011221032000 is an equidigital number, since it uses as much as digits as its factorization.

10011221032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402081 (or 402061 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10011221032000 its reverse (23012211001), we get a palindrome (10034233243001).

The spelling of 10011221032000 in words is "ten trillion, eleven billion, two hundred twenty-one million, thirty-two thousand".