221120122102000 has 320 divisors, whose sum is σ = 617641180041600. Its totient is φ = 75670585344000.

The previous prime is 221120122101943. The next prime is 221120122102001. The reversal of 221120122102000 is 201221021122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221120122102001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5750978776 + ... + 5751017224.

It is an arithmetic number, because the mean of its divisors is an integer number (1930128687630).

Almost surely, 2^{221120122102000} is an apocalyptic number.

221120122102000 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 221120122102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308820590020800).

221120122102000 is an abundant number, since it is smaller than the sum of its proper divisors (396521057939600).

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

221120122102000 is a wasteful number, since it uses less digits than its factorization.

221120122102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53877 (or 53861 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221120122102000 its reverse (201221021122), we get a palindrome (221321343123122).

It can be divided in two parts, 221120122 and 102000, that added together give a palindrome (221222122).

The spelling of 221120122102000 in words is "two hundred twenty-one trillion, one hundred twenty billion, one hundred twenty-two million, one hundred two thousand".