110271149041 has 9 divisors (see below), whose sum is σ = 111116685771. Its totient is φ = 109432005624.

The previous prime is 110271149011. The next prime is 110271149047. The reversal of 110271149041 is 140941172011.

The square root of 110271149041 is 332071.

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., 25065539041 + 85205610000 = 158321^2 + 291900^2 .

It is a de Polignac number, because none of the positive numbers 2^k-110271149041 is a prime.

It is a super-3 number, since 3×110271149041³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110271148994 and 110271149012.

It is not an unprimeable number, because it can be changed into a prime (110271149047) 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, 46156675 + ... + 46159063.

It is an arithmetic number, because the mean of its divisors is an integer number (12346298419).

Almost surely, 2^110271149041 is an apocalyptic number.

110271149041 is the 332071-st square number.

110271149041 is the 166036-th centered octagonal number.

It is an amenable number.

110271149041 is a deficient number, since it is larger than the sum of its proper divisors (845536730).

110271149041 is an frugal number, since it uses more digits than its factorization.

110271149041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5056 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 31.

The spelling of 110271149041 in words is "one hundred ten billion, two hundred seventy-one million, one hundred forty-nine thousand, forty-one".