221110122112200 has 576 divisors, whose sum is σ = 759692985554880. Its totient is φ = 57615618816000.

The previous prime is 221110122112199. The next prime is 221110122112211. The reversal of 221110122112200 is 2211221011122.

221110122112200 is a `hidden beast` number, since 2 + 211 + 10 + 1 + 221 + 1 + 220 + 0 = 666.

It is a super-2 number, since 2×221110122112200² (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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29081953599 + ... + 29081961201.

It is an arithmetic number, because the mean of its divisors is an integer number (1318911433255).

Almost surely, 2^{221110122112200} is an apocalyptic number.

221110122112200 is a gapful number since it is divisible by the number (20) 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 221110122112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379846492777440).

221110122112200 is an abundant number, since it is smaller than the sum of its proper divisors (538582863442680).

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

221110122112200 is a wasteful number, since it uses less digits than its factorization.

221110122112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9390 (or 9378 counting only the distinct ones).

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

Adding to 221110122112200 its reverse (2211221011122), we get a palindrome (223321343123322).

The spelling of 221110122112200 in words is "two hundred twenty-one trillion, one hundred ten billion, one hundred twenty-two million, one hundred twelve thousand, two hundred".