10221410013 has 16 divisors (see below), whose sum is σ = 14227664256. Its totient is φ = 6514988480.

The previous prime is 10221409981. The next prime is 10221410033. The reversal of 10221410013 is 31001412201.

It is a cyclic number.

It is not a de Polignac number, because 10221410013 - 2⁵ = 10221409981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10221409974 and 10221410001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221410033) 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 15 ways as a sum of consecutive naturals, for example, 121243 + ... + 187463.

It is an arithmetic number, because the mean of its divisors is an integer number (889229016).

Almost surely, 2^10221410013 is an apocalyptic number.

It is an amenable number.

10221410013 is a deficient number, since it is larger than the sum of its proper divisors (4006254243).

10221410013 is a wasteful number, since it uses less digits than its factorization.

10221410013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68484.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10221410013 its reverse (31001412201), we get a palindrome (41222822214).

The spelling of 10221410013 in words is "ten billion, two hundred twenty-one million, four hundred ten thousand, thirteen".