110110112121001 has 16 divisors (see below), whose sum is σ = 111485582208000. Its totient is φ = 108740772296208.

The previous prime is 110110112120989. The next prime is 110110112121017. The reversal of 110110112121001 is 100121211011011.

It is a cyclic number.

It is not a de Polignac number, because 110110112121001 - 2¹¹ = 110110112118953 is a prime.

It is a super-2 number, since 2×110110112121001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110110112128001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94330410 + ... + 95490556.

It is an arithmetic number, because the mean of its divisors is an integer number (6967848888000).

Almost surely, 2^{110110112121001} is an apocalyptic number.

It is an amenable number.

110110112121001 is a deficient number, since it is larger than the sum of its proper divisors (1375470086999).

110110112121001 is a wasteful number, since it uses less digits than its factorization.

110110112121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162788.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 110110112121001 its reverse (100121211011011), we get a palindrome (210231323132012).

The spelling of 110110112121001 in words is "one hundred ten trillion, one hundred ten billion, one hundred twelve million, one hundred twenty-one thousand, one".