110001940688761 has 27 divisors (see below), whose sum is σ = 122109707551503. Its totient is φ = 99020175402720.

The previous prime is 110001940688741. The next prime is 110001940688833. The reversal of 110001940688761 is 167886049100011.

The square root of 110001940688761 is 10488181.

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

It can be written as a sum of positive squares in only one way, i.e., 6761222055225 + 103240718633536 = 2600235^2 + 10160744^2 .

It is not a de Polignac number, because 110001940688761 - 2⁴¹ = 107802917433209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110001940688699 and 110001940688708.

It is not an unprimeable number, because it can be changed into a prime (110001940688741) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11883104445 + ... + 11883113701.

Almost surely, 2^{110001940688761} is an apocalyptic number.

110001940688761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110001940688761 is the 10488181-st square number.

110001940688761 is the 5244091-st centered octagonal number.

It is an amenable number.

110001940688761 is a deficient number, since it is larger than the sum of its proper divisors (12107766862742).

110001940688761 is an frugal number, since it uses more digits than its factorization.

110001940688761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18742 (or 9371 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 52.

Adding to 110001940688761 its reverse (167886049100011), we get a palindrome (277887989788772).

The spelling of 110001940688761 in words is "one hundred ten trillion, one billion, nine hundred forty million, six hundred eighty-eight thousand, seven hundred sixty-one".