110110121001 has 12 divisors (see below), whose sum is σ = 159053085828. Its totient is φ = 73404378144.

The previous prime is 110110120979. The next prime is 110110121021. The reversal of 110110121001 is 100121011011.

It can be written as a sum of positive squares in 2 ways, for example, as 38447366400 + 71662754601 = 196080^2 + 267699^2 .

It is not a de Polignac number, because 110110121001 - 2⁵ = 110110120969 is a prime.

It is a super-2 number, since 2×110110121001² (a number of 23 digits) contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (110110121021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124551 + ... + 485523.

It is an arithmetic number, because the mean of its divisors is an integer number (13254423819).

Almost surely, 2^110110121001 is an apocalyptic number.

It is an amenable number.

110110121001 is a deficient number, since it is larger than the sum of its proper divisors (48942964827).

110110121001 is a wasteful number, since it uses less digits than its factorization.

110110121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394872 (or 394869 counting only the distinct ones).

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

Adding to 110110121001 its reverse (100121011011), we get a palindrome (210231132012).

The spelling of 110110121001 in words is "one hundred ten billion, one hundred ten million, one hundred twenty-one thousand, one".