10011221804844 has 240 divisors, whose sum is σ = 28882565889408. Its totient is φ = 3004529075712.

The previous prime is 10011221804833. The next prime is 10011221804849. The reversal of 10011221804844 is 44840812211001.

It is a happy number.

10011221804844 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10011221804844³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10011221804799 and 10011221804808.

It is not an unprimeable number, because it can be changed into a prime (10011221804849) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 57917154 + ... + 58089750.

Almost surely, 2^{10011221804844} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011221804844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14441282944704).

10011221804844 is an abundant number, since it is smaller than the sum of its proper divisors (18871344084564).

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

10011221804844 is a wasteful number, since it uses less digits than its factorization.

10011221804844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172966 (or 172955 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 10011221804844 in words is "ten trillion, eleven billion, two hundred twenty-one million, eight hundred four thousand, eight hundred forty-four".