10221010110011 has 16 divisors (see below), whose sum is σ = 10569414418944. Its totient is φ = 9878843299104.

The previous prime is 10221010109993. The next prime is 10221010110053. The reversal of 10221010110011 is 11001101012201.

It is a de Polignac number, because none of the positive numbers 2^k-10221010110011 is a prime.

It is a super-3 number, since 3×10221010110011³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10221010109974 and 10221010110001.

It is not an unprimeable number, because it can be changed into a prime (10221010110911) 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, 3046145 + ... + 5451698.

It is an arithmetic number, because the mean of its divisors is an integer number (660588401184).

Almost surely, 2^{10221010110011} is an apocalyptic number.

10221010110011 is a deficient number, since it is larger than the sum of its proper divisors (348404308933).

10221010110011 is a wasteful number, since it uses less digits than its factorization.

10221010110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8498210.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10221010110011 its reverse (11001101012201), we get a palindrome (21222111122212).

The spelling of 10221010110011 in words is "ten trillion, two hundred twenty-one billion, ten million, one hundred ten thousand, eleven".