110100101100101 has 16 divisors (see below), whose sum is σ = 127580115936000. Its totient is φ = 93066336937728.

The previous prime is 110100101100037. The next prime is 110100101100103. The reversal of 110100101100101 is 101001101001011.

It is not a de Polignac number, because 110100101100101 - 2⁶ = 110100101100037 is a prime.

It is a super-2 number, since 2×110100101100101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110100101100103) 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, 349568786 + ... + 349883603.

It is an arithmetic number, because the mean of its divisors is an integer number (7973757246000).

Almost surely, 2^{110100101100101} is an apocalyptic number.

It is an amenable number.

110100101100101 is a deficient number, since it is larger than the sum of its proper divisors (17480014835899).

110100101100101 is a wasteful number, since it uses less digits than its factorization.

110100101100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699452708.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 110100101100101 its reverse (101001101001011), we get a palindrome (211101202101112).

The spelling of 110100101100101 in words is "one hundred ten trillion, one hundred billion, one hundred one million, one hundred thousand, one hundred one".