121101101101101 has 32 divisors (see below), whose sum is σ = 182222329259520. Its totient is φ = 70863277284800.

The previous prime is 121101101101091. The next prime is 121101101101133. The reversal of 121101101101101 is 101101101101121.

It is not a de Polignac number, because 121101101101101 - 2¹¹ = 121101101099053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121101101100101) 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, 180433726 + ... + 181103648.

It is an arithmetic number, because the mean of its divisors is an integer number (5694447789360).

Almost surely, 2^{121101101101101} is an apocalyptic number.

121101101101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121101101101101 is a deficient number, since it is larger than the sum of its proper divisors (61121228158419).

121101101101101 is a wasteful number, since it uses less digits than its factorization.

121101101101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858857.

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

Adding to 121101101101101 its reverse (101101101101121), we get a palindrome (222202202202222).

It can be divided in two parts, 121 and 101101101101, that multiplied together give a palindrome (12233233233221).

The spelling of 121101101101101 in words is "one hundred twenty-one trillion, one hundred one billion, one hundred one million, one hundred one thousand, one hundred one".