21167340101 has 8 divisors (see below), whose sum is σ = 23018221080. Its totient is φ = 19383763968.

The previous prime is 21167340071. The next prime is 21167340107. The reversal of 21167340101 is 10104376112.

It is a Cunningham number, because it is equal to 145490²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 9846592900 + 11320747201 = 99230^2 + 106399^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 21167340101 - 2⁶ = 21167340037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21167340107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16825556 + ... + 16826813.

It is an arithmetic number, because the mean of its divisors is an integer number (2877277635).

Almost surely, 2^21167340101 is an apocalyptic number.

It is an amenable number.

21167340101 is a deficient number, since it is larger than the sum of its proper divisors (1850880979).

21167340101 is a wasteful number, since it uses less digits than its factorization.

21167340101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33652423.

The product of its (nonzero) digits is 1008, while the sum is 26.

The spelling of 21167340101 in words is "twenty-one billion, one hundred sixty-seven million, three hundred forty thousand, one hundred one".