10221002101011 has 32 divisors (see below), whose sum is σ = 15052406886720. Its totient is φ = 6129033523200.

The previous prime is 10221002100977. The next prime is 10221002101033. The reversal of 10221002101011 is 11010120012201.

It is not a de Polignac number, because 10221002101011 - 2¹⁴ = 10221002084627 is a prime.

It is a super-3 number, since 3×10221002101011³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10221002101111) 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 31 ways as a sum of consecutive naturals, for example, 2529750 + ... + 5180891.

It is an arithmetic number, because the mean of its divisors is an integer number (470387715210).

Almost surely, 2^{10221002101011} is an apocalyptic number.

10221002101011 is a deficient number, since it is larger than the sum of its proper divisors (4831404785709).

10221002101011 is a wasteful number, since it uses less digits than its factorization.

10221002101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7711527.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10221002101011 its reverse (11010120012201), we get a palindrome (21231122113212).

The spelling of 10221002101011 in words is "ten trillion, two hundred twenty-one billion, two million, one hundred one thousand, eleven".