221102121000120 has 64 divisors (see below), whose sum is σ = 663307343677440. Its totient is φ = 58960478428800.

The previous prime is 221102121000119. The next prime is 221102121000127. The reversal of 221102121000120 is 21000121201122.

It is a super-2 number, since 2×221102121000120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221102121000120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221102121000127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149204025 + ... + 150678615.

It is an arithmetic number, because the mean of its divisors is an integer number (10364177244960).

Almost surely, 2^{221102121000120} is an apocalyptic number.

221102121000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221102121000120 is an abundant number, since it is smaller than the sum of its proper divisors (442205222677320).

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

221102121000120 is a wasteful number, since it uses less digits than its factorization.

221102121000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724116 (or 2724112 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221102121000120 its reverse (21000121201122), we get a palindrome (242102242201242).

The spelling of 221102121000120 in words is "two hundred twenty-one trillion, one hundred two billion, one hundred twenty-one million, one hundred twenty", and thus it is an aban number.