110101121110101 has 128 divisors (see below), whose sum is σ = 170234652284928. Its totient is φ = 62707800960000.

The previous prime is 110101121110093. The next prime is 110101121110109. The reversal of 110101121110101 is 101011121101011.

It is an interprime number because it is at equal distance from previous prime (110101121110093) and next prime (110101121110109).

It is not a de Polignac number, because 110101121110101 - 2³ = 110101121110093 is a prime.

It is a super-2 number, since 2×110101121110101² (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 (110101121110109) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 725548231 + ... + 725699963.

It is an arithmetic number, because the mean of its divisors is an integer number (1329958220976).

Almost surely, 2^{110101121110101} is an apocalyptic number.

110101121110101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110101121110101 is a deficient number, since it is larger than the sum of its proper divisors (60133531174827).

110101121110101 is a wasteful number, since it uses less digits than its factorization.

110101121110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152035.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 110101121110101 its reverse (101011121101011), we get a palindrome (211112242211112).

The spelling of 110101121110101 in words is "one hundred ten trillion, one hundred one billion, one hundred twenty-one million, one hundred ten thousand, one hundred one".