110138727101 has 16 divisors (see below), whose sum is σ = 126225603504. Its totient is φ = 95200379904.

The previous prime is 110138727073. The next prime is 110138727157. The reversal of 110138727101 is 101727831011.

It can be written as a sum of positive squares in 8 ways, for example, as 13759524601 + 96379202500 = 117301^2 + 310450^2 .

It is a cyclic number.

It is not a de Polignac number, because 110138727101 - 2¹⁸ = 110138464957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110138727191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1221350 + ... + 1308423.

It is an arithmetic number, because the mean of its divisors is an integer number (7889100219).

Almost surely, 2^110138727101 is an apocalyptic number.

It is an amenable number.

110138727101 is a deficient number, since it is larger than the sum of its proper divisors (16086876403).

110138727101 is a wasteful number, since it uses less digits than its factorization.

110138727101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2530000.

The product of its (nonzero) digits is 2352, while the sum is 32.

The spelling of 110138727101 in words is "one hundred ten billion, one hundred thirty-eight million, seven hundred twenty-seven thousand, one hundred one".