21001011220096 has 128 divisors (see below), whose sum is σ = 44848579789440. Its totient is φ = 9771208212480.

The previous prime is 21001011220031. The next prime is 21001011220099. The reversal of 21001011220096 is 69002211010012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 21001011220096.

It is not an unprimeable number, because it can be changed into a prime (21001011220099) 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, 42362071 + ... + 42854953.

It is an arithmetic number, because the mean of its divisors is an integer number (350379529605).

Almost surely, 2^{21001011220096} 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 21001011220096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22424289894720).

21001011220096 is an abundant number, since it is smaller than the sum of its proper divisors (23847568569344).

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

21001011220096 is a wasteful number, since it uses less digits than its factorization.

21001011220096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493314 (or 493302 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The spelling of 21001011220096 in words is "twenty-one trillion, one billion, eleven million, two hundred twenty thousand, ninety-six".