221110121011122 has 192 divisors, whose sum is σ = 572048067951360. Its totient is φ = 60386719680000.

The previous prime is 221110121011079. The next prime is 221110121011133.

It is a happy number.

221110121011122 is a `hidden beast` number, since 221 + 1 + 101 + 210 + 11 + 122 = 666.

221110121011122 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×221110121011122² (a number of 29 digits) contains 22 as substring.

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 = 221110121011095 and 221110121011104.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6308222497 + ... + 6308257547.

It is an arithmetic number, because the mean of its divisors is an integer number (2979417020580).

Almost surely, 2^{221110121011122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221110121011122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286024033975680).

221110121011122 is an abundant number, since it is smaller than the sum of its proper divisors (350937946940238).

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

221110121011122 is a wasteful number, since it uses less digits than its factorization.

221110121011122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52289 (or 52286 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

The spelling of 221110121011122 in words is "two hundred twenty-one trillion, one hundred ten billion, one hundred twenty-one million, eleven thousand, one hundred twenty-two".