221001120096 has 96 divisors (see below), whose sum is σ = 640959879168. Its totient is φ = 66319165440.

The previous prime is 221001120049. The next prime is 221001120097. The reversal of 221001120096 is 690021100122.

221001120096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221001120097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2906320 + ... + 2981391.

It is an arithmetic number, because the mean of its divisors is an integer number (6676665408).

Almost surely, 2^221001120096 is an apocalyptic number.

It is an amenable number.

221001120096 is an abundant number, since it is smaller than the sum of its proper divisors (419958759072).

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

221001120096 is a wasteful number, since it uses less digits than its factorization.

221001120096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5887764 (or 5887756 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The spelling of 221001120096 in words is "two hundred twenty-one billion, one million, one hundred twenty thousand, ninety-six".