221122102032 has 120 divisors (see below), whose sum is σ = 670120448088. Its totient is φ = 67661568000.

The previous prime is 221122102031. The next prime is 221122102039. The reversal of 221122102032 is 230201221122.

It can be written as a sum of positive squares in 4 ways, for example, as 11903682816 + 209218419216 = 109104^2 + 457404^2 .

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 = 221122101996 and 221122102014.

It is not an unprimeable number, because it can be changed into a prime (221122102031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12532 + ... + 665132.

Almost surely, 2^221122102032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221122102032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335060224044).

221122102032 is an abundant number, since it is smaller than the sum of its proper divisors (448998346056).

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

221122102032 is a wasteful number, since it uses less digits than its factorization.

221122102032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652809 (or 652800 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 221122102032 its reverse (230201221122), we get a palindrome (451323323154).

The spelling of 221122102032 in words is "two hundred twenty-one billion, one hundred twenty-two million, one hundred two thousand, thirty-two".