10221011110011 has 16 divisors (see below), whose sum is σ = 14680315236384. Its totient is φ = 6288142308864.

The previous prime is 10221011109977. The next prime is 10221011110069. The reversal of 10221011110011 is 11001111012201.

It is not a de Polignac number, because 10221011110011 - 2¹⁸ = 10221010847867 is a prime.

It is a super-3 number, since 3×10221011110011³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10221011110081) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 35493966 + ... + 35780771.

It is an arithmetic number, because the mean of its divisors is an integer number (917519702274).

Almost surely, 2^{10221011110011} is an apocalyptic number.

10221011110011 is a deficient number, since it is larger than the sum of its proper divisors (4459304126373).

10221011110011 is a wasteful number, since it uses less digits than its factorization.

10221011110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71278430.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10221011110011 its reverse (11001111012201), we get a palindrome (21222122122212).

The spelling of 10221011110011 in words is "ten trillion, two hundred twenty-one billion, eleven million, one hundred ten thousand, eleven".