27091007101 has 36 divisors (see below), whose sum is σ = 30697287348. Its totient is φ = 23897493504.

The previous prime is 27091007057. The next prime is 27091007107. The reversal of 27091007101 is 10170019072.

It can be written as a sum of positive squares in 6 ways, for example, as 80084601 + 27010922500 = 8949^2 + 164350^2 .

It is not a de Polignac number, because 27091007101 - 2⁷ = 27091006973 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 27091007101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27091007107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10118575 + ... + 10121251.

Almost surely, 2^27091007101 is an apocalyptic number.

It is an amenable number.

27091007101 is a deficient number, since it is larger than the sum of its proper divisors (3606280247).

27091007101 is a wasteful number, since it uses less digits than its factorization.

27091007101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2846 (or 2810 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 28.

The spelling of 27091007101 in words is "twenty-seven billion, ninety-one million, seven thousand, one hundred one".