110140008447121 has 9 divisors (see below), whose sum is σ = 110715674999601. Its totient is φ = 109567319834112.

The previous prime is 110140008447067. The next prime is 110140008447173. The reversal of 110140008447121 is 121744800041011.

The square root of 110140008447121 is 10494761.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1994983928721 + 108145024518400 = 1412439^2 + 10399280^2 .

It is not a de Polignac number, because 110140008447121 - 2⁹ = 110140008446609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110140008447221) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2025461685 + ... + 2025516061.

Almost surely, 2^{110140008447121} is an apocalyptic number.

110140008447121 is the 10494761-st square number.

110140008447121 is the 5247381-st centered octagonal number.

It is an amenable number.

110140008447121 is a deficient number, since it is larger than the sum of its proper divisors (575666552480).

110140008447121 is an frugal number, since it uses more digits than its factorization.

110140008447121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109140 (or 54570 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 34.

Adding to 110140008447121 its reverse (121744800041011), we get a palindrome (231884808488132).

The spelling of 110140008447121 in words is "one hundred ten trillion, one hundred forty billion, eight million, four hundred forty-seven thousand, one hundred twenty-one".