121101101121 has 128 divisors (see below), whose sum is σ = 223082496000. Its totient is φ = 56392796160.

The previous prime is 121101101071. The next prime is 121101101227.

121101101121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 121101101121 - 2⁶ = 121101101057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121101101097 and 121101101106.

It is not an unprimeable number, because it can be changed into a prime (121101151121) 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, 115443805 + ... + 115444853.

It is an arithmetic number, because the mean of its divisors is an integer number (1742832000).

Almost surely, 2^121101101121 is an apocalyptic number.

121101101121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121101101121 is a deficient number, since it is larger than the sum of its proper divisors (101981394879).

121101101121 is a wasteful number, since it uses less digits than its factorization.

121101101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2159.

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

It can be divided in two parts, 121101 and 101121, that multiplied together give a palindrome (12245854221).

The spelling of 121101101121 in words is "one hundred twenty-one billion, one hundred one million, one hundred one thousand, one hundred twenty-one".