10221002211011 has 8 divisors (see below), whose sum is σ = 10253636799840. Its totient is φ = 10188370086208.

The previous prime is 10221002210989. The next prime is 10221002211041. The reversal of 10221002211011 is 11011220012201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10221002211011 - 2⁴² = 5822955699907 is a prime.

It is a super-3 number, since 3×10221002211011³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10221002211041) 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 7 ways as a sum of consecutive naturals, for example, 7880135 + ... + 9085071.

It is an arithmetic number, because the mean of its divisors is an integer number (1281704599980).

Almost surely, 2^{10221002211011} is an apocalyptic number.

10221002211011 is a deficient number, since it is larger than the sum of its proper divisors (32634588829).

10221002211011 is a wasteful number, since it uses less digits than its factorization.

10221002211011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232013.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10221002211011 its reverse (11011220012201), we get a palindrome (21232222223212).

The spelling of 10221002211011 in words is "ten trillion, two hundred twenty-one billion, two million, two hundred eleven thousand, eleven".