10221100100013 has 96 divisors (see below), whose sum is σ = 15678479985280. Its totient is φ = 5912556249600.

The previous prime is 10221100100011. The next prime is 10221100100021. The reversal of 10221100100013 is 31000100112201.

It is not a de Polignac number, because 10221100100013 - 2¹ = 10221100100011 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221100100011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 310494831 + ... + 310527747.

Almost surely, 2^{10221100100013} is an apocalyptic number.

It is an amenable number.

10221100100013 is a deficient number, since it is larger than the sum of its proper divisors (5457379885267).

10221100100013 is a wasteful number, since it uses less digits than its factorization.

10221100100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33419 (or 33408 counting only the distinct ones).

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

Adding to 10221100100013 its reverse (31000100112201), we get a palindrome (41221200212214).

The spelling of 10221100100013 in words is "ten trillion, two hundred twenty-one billion, one hundred million, one hundred thousand, thirteen".