221131132100032 has 224 divisors, whose sum is σ = 560117815658496. Its totient is φ = 84111587328000.

The previous prime is 221131132099931. The next prime is 221131132100041. The reversal of 221131132100032 is 230001231131122.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 221131132099976 and 221131132100012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91687578 + ... + 94068454.

Almost surely, 2^{221131132100032} is an apocalyptic number.

221131132100032 is a gapful number since it is divisible by the number (22) 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 221131132100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280058907829248).

221131132100032 is an abundant number, since it is smaller than the sum of its proper divisors (338986683558464).

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

221131132100032 is a wasteful number, since it uses less digits than its factorization.

221131132100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2381355 (or 2381345 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 221131132100032 its reverse (230001231131122), we get a palindrome (451132363231154).

It can be divided in two parts, 2211311 and 32100032, that added together give a palindrome (34311343).

The spelling of 221131132100032 in words is "two hundred twenty-one trillion, one hundred thirty-one billion, one hundred thirty-two million, one hundred thousand, thirty-two".