221100021112122 has 72 divisors (see below), whose sum is σ = 484001344636992. Its totient is φ = 72945982490400.

The previous prime is 221100021112111. The next prime is 221100021112133. The reversal of 221100021112122 is 221211120001122.

221100021112122 is a `hidden beast` number, since 221 + 100 + 0 + 211 + 12 + 122 = 666.

It is an interprime number because it is at equal distance from previous prime (221100021112111) and next prime (221100021112133).

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 = 221100021112095 and 221100021112104.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 554878053 + ... + 555276375.

It is an arithmetic number, because the mean of its divisors is an integer number (6722240897736).

Almost surely, 2^{221100021112122} is an apocalyptic number.

221100021112122 is an abundant number, since it is smaller than the sum of its proper divisors (262901323524870).

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

221100021112122 is a wasteful number, since it uses less digits than its factorization.

221100021112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401556 (or 401452 counting only the distinct ones).

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

Adding to 221100021112122 its reverse (221211120001122), we get a palindrome (442311141113244).

The spelling of 221100021112122 in words is "two hundred twenty-one trillion, one hundred billion, twenty-one million, one hundred twelve thousand, one hundred twenty-two".