221002100011 has 48 divisors (see below), whose sum is σ = 293908912128. Its totient is φ = 164012956800.

The previous prime is 221002099931. The next prime is 221002100051. The reversal of 221002100011 is 110001200122.

221002100011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221002100011 - 2²⁹ = 220465229099 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221002100051) 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 47 ways as a sum of consecutive naturals, for example, 2850246 + ... + 2926756.

It is an arithmetic number, because the mean of its divisors is an integer number (6123102336).

Almost surely, 2^221002100011 is an apocalyptic number.

221002100011 is a deficient number, since it is larger than the sum of its proper divisors (72906812117).

221002100011 is a wasteful number, since it uses less digits than its factorization.

221002100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76792 (or 76785 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 221002100011 its reverse (110001200122), we get a palindrome (331003300133).

The spelling of 221002100011 in words is "two hundred twenty-one billion, two million, one hundred thousand, eleven".