110012111001 has 48 divisors (see below), whose sum is σ = 177093680400. Its totient is φ = 65342140416.

The previous prime is 110012110997. The next prime is 110012111023. The reversal of 110012111001 is 100111210011.

It can be written as a sum of positive squares in 8 ways, for example, as 14262091776 + 95750019225 = 119424^2 + 309435^2 .

It is not a de Polignac number, because 110012111001 - 2² = 110012110997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (110012110001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16992301 + ... + 16998773.

It is an arithmetic number, because the mean of its divisors is an integer number (3689451675).

Almost surely, 2^110012111001 is an apocalyptic number.

It is an amenable number.

110012111001 is a deficient number, since it is larger than the sum of its proper divisors (67081569399).

110012111001 is a wasteful number, since it uses less digits than its factorization.

110012111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11530 (or 11527 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 110012111001 its reverse (100111210011), we get a palindrome (210123321012).

The spelling of 110012111001 in words is "one hundred ten billion, twelve million, one hundred eleven thousand, one".