21013001101 has 2 divisors, whose sum is σ = 21013001102. Its totient is φ = 21013001100.

The previous prime is 21013001081. The next prime is 21013001117. The reversal of 21013001101 is 10110031012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21003545476 + 9455625 = 144926^2 + 3075^2 .

It is a cyclic number.

It is not a de Polignac number, because 21013001101 - 2⁷ = 21013000973 is a prime.

It is a super-3 number, since 3×21013001101³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21013001201) 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 as a sum of consecutive naturals, namely, 10506500550 + 10506500551.

It is an arithmetic number, because the mean of its divisors is an integer number (10506500551).

Almost surely, 2^21013001101 is an apocalyptic number.

It is an amenable number.

21013001101 is a deficient number, since it is larger than the sum of its proper divisors (1).

21013001101 is an equidigital number, since it uses as much as digits as its factorization.

21013001101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 21013001101 its reverse (10110031012), we get a palindrome (31123032113).

The spelling of 21013001101 in words is "twenty-one billion, thirteen million, one thousand, one hundred one".