10011121221222 has 96 divisors (see below), whose sum is σ = 23733810880416. Its totient is φ = 3024552960000.

The previous prime is 10011121221209. The next prime is 10011121221239. The reversal of 10011121221222 is 22212212111001.

10011121221222 is a `hidden beast` number, since 100 + 1 + 1 + 121 + 221 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10011121221195 and 10011121221204.

It is a congruent number.

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, 629107938 + ... + 629123850.

It is an arithmetic number, because the mean of its divisors is an integer number (247227196671).

Almost surely, 2^{10011121221222} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011121221222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11866905440208).

10011121221222 is an abundant number, since it is smaller than the sum of its proper divisors (13722689659194).

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

10011121221222 is a wasteful number, since it uses less digits than its factorization.

10011121221222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25286 (or 25283 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10011121221222 its reverse (22212212111001), we get a palindrome (32223333332223).

The spelling of 10011121221222 in words is "ten trillion, eleven billion, one hundred twenty-one million, two hundred twenty-one thousand, two hundred twenty-two".