110100101122101 has 16 divisors (see below), whose sum is σ = 147657246732288. Its totient is φ = 72971972530800.

The previous prime is 110100101122019. The next prime is 110100101122229. The reversal of 110100101122101 is 101221101001011.

It is not a de Polignac number, because 110100101122101 - 2²⁵ = 110100067567669 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110100101122301) 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, 56677315 + ... + 58587696.

It is an arithmetic number, because the mean of its divisors is an integer number (9228577920768).

Almost surely, 2^{110100101122101} is an apocalyptic number.

It is an amenable number.

110100101122101 is a deficient number, since it is larger than the sum of its proper divisors (37557145610187).

110100101122101 is a wasteful number, since it uses less digits than its factorization.

110100101122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115266872.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 110100101122101 its reverse (101221101001011), we get a palindrome (211321202123112).

The spelling of 110100101122101 in words is "one hundred ten trillion, one hundred billion, one hundred one million, one hundred twenty-two thousand, one hundred one".