10211022100013 has 16 divisors (see below), whose sum is σ = 11878079115264. Its totient is φ = 8597414649600.

The previous prime is 10211022100003. The next prime is 10211022100031. The reversal of 10211022100013 is 31000122011201.

It is not a de Polignac number, because 10211022100013 - 2¹² = 10211022095917 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 (10211022100003) 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, 56771420 + ... + 56950997.

It is an arithmetic number, because the mean of its divisors is an integer number (742379944704).

Almost surely, 2^{10211022100013} is an apocalyptic number.

It is an amenable number.

10211022100013 is a deficient number, since it is larger than the sum of its proper divisors (1667057015251).

10211022100013 is a wasteful number, since it uses less digits than its factorization.

10211022100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113722652.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10211022100013 its reverse (31000122011201), we get a palindrome (41211144111214).

The spelling of 10211022100013 in words is "ten trillion, two hundred eleven billion, twenty-two million, one hundred thousand, thirteen".