21322101001032 has 192 divisors, whose sum is σ = 62310601080000. Its totient is φ = 6547879613952.

The previous prime is 21322101001031. The next prime is 21322101001043. The reversal of 21322101001032 is 23010010122312.

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 = 21322101000996 and 21322101001014.

It is not an unprimeable number, because it can be changed into a prime (21322101001031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1068820594 + ... + 1068840542.

It is an arithmetic number, because the mean of its divisors is an integer number (324534380625).

Almost surely, 2^{21322101001032} 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 21322101001032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31155300540000).

21322101001032 is an abundant number, since it is smaller than the sum of its proper divisors (40988500078968).

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

21322101001032 is a wasteful number, since it uses less digits than its factorization.

21322101001032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22140 (or 22133 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21322101001032 its reverse (23010010122312), we get a palindrome (44332111123344).

The spelling of 21322101001032 in words is "twenty-one trillion, three hundred twenty-two billion, one hundred one million, one thousand, thirty-two".