10011002220000 has 720 divisors, whose sum is σ = 37220695752240. Its totient is φ = 2645830656000.

The previous prime is 10011002219963. The next prime is 10011002220007. The reversal of 10011002220000 is 2220011001.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011002220007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 549170886 + ... + 549189114.

It is an arithmetic number, because the mean of its divisors is an integer number (51695410767).

Almost surely, 2^{10011002220000} is an apocalyptic number.

10011002220000 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 10011002220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18610347876120).

10011002220000 is an abundant number, since it is smaller than the sum of its proper divisors (27209693532240).

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

10011002220000 is an equidigital number, since it uses as much as digits as its factorization.

10011002220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18387 (or 18352 counting only the distinct ones).

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

Adding to 10011002220000 its reverse (2220011001), we get a palindrome (10013222231001).

The spelling of 10011002220000 in words is "ten trillion, eleven billion, two million, two hundred twenty thousand".