21101033130101 has 2 divisors, whose sum is σ = 21101033130102. Its totient is φ = 21101033130100.

The previous prime is 21101033130017. The next prime is 21101033130103. The reversal of 21101033130101 is 10103133010112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15605454739876 + 5495578390225 = 3950374^2 + 2344265^2 .

It is a cyclic number.

It is not a de Polignac number, because 21101033130101 - 2²² = 21101028935797 is a prime.

Together with 21101033130103, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21101033130101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21101033130103) 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 as a sum of consecutive naturals, namely, 10550516565050 + 10550516565051.

It is an arithmetic number, because the mean of its divisors is an integer number (10550516565051).

Almost surely, 2^{21101033130101} is an apocalyptic number.

It is an amenable number.

21101033130101 is a deficient number, since it is larger than the sum of its proper divisors (1).

21101033130101 is an equidigital number, since it uses as much as digits as its factorization.

21101033130101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 21101033130101 its reverse (10103133010112), we get a palindrome (31204166140213).

The spelling of 21101033130101 in words is "twenty-one trillion, one hundred one billion, thirty-three million, one hundred thirty thousand, one hundred one".