121101113011 has 16 divisors (see below), whose sum is σ = 128429608320. Its totient is φ = 113795573760.

The previous prime is 121101112981. The next prime is 121101113041. The reversal of 121101113011 is 110311101121.

It is an interprime number because it is at equal distance from previous prime (121101112981) and next prime (121101113041).

It is not a de Polignac number, because 121101113011 - 2⁷ = 121101112883 is a prime.

It is a super-2 number, since 2×121101113011² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121101112982 and 121101113000.

It is not an unprimeable number, because it can be changed into a prime (121101113041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47359345 + ... + 47361901.

It is an arithmetic number, because the mean of its divisors is an integer number (8026850520).

Almost surely, 2^121101113011 is an apocalyptic number.

121101113011 is a deficient number, since it is larger than the sum of its proper divisors (7328495309).

121101113011 is a wasteful number, since it uses less digits than its factorization.

121101113011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5934.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 121101113011 its reverse (110311101121), we get a palindrome (231412214132).

The spelling of 121101113011 in words is "one hundred twenty-one billion, one hundred one million, one hundred thirteen thousand, eleven".