21201110002002 has 128 divisors (see below), whose sum is σ = 51161786818560. Its totient is φ = 5731472597760.

The previous prime is 21201110001983. The next prime is 21201110002031. The reversal of 21201110002002 is 20020001110212.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 6159852 + ... + 8963592.

It is an arithmetic number, because the mean of its divisors is an integer number (399701459520).

Almost surely, 2^{21201110002002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21201110002002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25580893409280).

21201110002002 is an abundant number, since it is smaller than the sum of its proper divisors (29960676816558).

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

21201110002002 is a wasteful number, since it uses less digits than its factorization.

21201110002002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2803928.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21201110002002 its reverse (20020001110212), we get a palindrome (41221111112214).

The spelling of 21201110002002 in words is "twenty-one trillion, two hundred one billion, one hundred ten million, two thousand, two".