10822100332032 has 320 divisors, whose sum is σ = 35079371205120. Its totient is φ = 3266942976000.

The previous prime is 10822100331983. The next prime is 10822100332079. The reversal of 10822100332032 is 23023300122801.

It is a happy number.

10822100332032 is a `hidden beast` number, since 10 + 82 + 210 + 0 + 332 + 0 + 32 = 666.

10822100332032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10822100331987 and 10822100332005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39857532 + ... + 40128132.

It is an arithmetic number, because the mean of its divisors is an integer number (109623035016).

Almost surely, 2^{10822100332032} is an apocalyptic number.

10822100332032 is a gapful number since it is divisible by the number (12) 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 10822100332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17539685602560).

10822100332032 is an abundant number, since it is smaller than the sum of its proper divisors (24257270873088).

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

10822100332032 is a wasteful number, since it uses less digits than its factorization.

10822100332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270902 (or 270880 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10822100332032 its reverse (23023300122801), we get a palindrome (33845400454833).

The spelling of 10822100332032 in words is "ten trillion, eight hundred twenty-two billion, one hundred million, three hundred thirty-two thousand, thirty-two".