21010101102113 has 12 divisors (see below), whose sum is σ = 21329105670180. Its totient is φ = 20695798835712.

The previous prime is 21010101102077. The next prime is 21010101102143. The reversal of 21010101102113 is 31120110101012.

It can be written as a sum of positive squares in 2 ways, for example, as 365145858529 + 20644955243584 = 604273^2 + 4543672^2 .

It is not a de Polignac number, because 21010101102113 - 2¹² = 21010101098017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21010101102143) 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 11 ways as a sum of consecutive naturals, for example, 167866445 + ... + 167991557.

It is an arithmetic number, because the mean of its divisors is an integer number (1777425472515).

Almost surely, 2^{21010101102113} is an apocalyptic number.

It is an amenable number.

21010101102113 is a deficient number, since it is larger than the sum of its proper divisors (319004568067).

21010101102113 is an equidigital number, since it uses as much as digits as its factorization.

21010101102113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162656 (or 162589 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 21010101102113 its reverse (31120110101012), we get a palindrome (52130211203125).

The spelling of 21010101102113 in words is "twenty-one trillion, ten billion, one hundred one million, one hundred two thousand, one hundred thirteen".