10221101102032 has 80 divisors (see below), whose sum is σ = 21324851907840. Its totient is φ = 4728660258816.

The previous prime is 10221101101949. The next prime is 10221101102041. The reversal of 10221101102032 is 23020110112201.

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

It is a junction number, because it is equal to n+sod(n) for n = 10221101101997 and 10221101102015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3985963 + ... + 6027445.

It is an arithmetic number, because the mean of its divisors is an integer number (266560648848).

Almost surely, 2^{10221101102032} 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 10221101102032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10662425953920).

10221101102032 is an abundant number, since it is smaller than the sum of its proper divisors (11103750805808).

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

10221101102032 is a wasteful number, since it uses less digits than its factorization.

10221101102032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041820 (or 2041814 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10221101102032 its reverse (23020110112201), we get a palindrome (33241211214233).

The spelling of 10221101102032 in words is "ten trillion, two hundred twenty-one billion, one hundred one million, one hundred two thousand, thirty-two".