21611017101 has 16 divisors (see below), whose sum is σ = 29059015680. Its totient is φ = 14285594160.

The previous prime is 21611017093. The next prime is 21611017147. The reversal of 21611017101 is 10171011612.

It is not a de Polignac number, because 21611017101 - 2³ = 21611017093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21611017171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159490 + ... + 262028.

It is an arithmetic number, because the mean of its divisors is an integer number (1816188480).

Almost surely, 2^21611017101 is an apocalyptic number.

It is an amenable number.

21611017101 is a deficient number, since it is larger than the sum of its proper divisors (7447998579).

21611017101 is a wasteful number, since it uses less digits than its factorization.

21611017101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103136.

The product of its (nonzero) digits is 84, while the sum is 21.

Adding to 21611017101 its reverse (10171011612), we get a palindrome (31782028713).

The spelling of 21611017101 in words is "twenty-one billion, six hundred eleven million, seventeen thousand, one hundred one".