110112100001001 has 32 divisors (see below), whose sum is σ = 187096648569600. Its totient is φ = 62697281109120.

The previous prime is 110112100000967. The next prime is 110112100001021. The reversal of 110112100001001 is 100100001211011.

It is not a de Polignac number, because 110112100001001 - 2⁶ = 110112100000937 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 (110112100001021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1036608286 + ... + 1036714503.

It is an arithmetic number, because the mean of its divisors is an integer number (5846770267800).

Almost surely, 2^{110112100001001} is an apocalyptic number.

It is an amenable number.

110112100001001 is a deficient number, since it is larger than the sum of its proper divisors (76984548568599).

110112100001001 is a wasteful number, since it uses less digits than its factorization.

110112100001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2073323086 (or 2073323080 counting only the distinct ones).

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

Adding to 110112100001001 its reverse (100100001211011), we get a palindrome (210212101212012).

The spelling of 110112100001001 in words is "one hundred ten trillion, one hundred twelve billion, one hundred million, one thousand, one".