121331100011 has 48 divisors (see below), whose sum is σ = 142213397760. Its totient is φ = 102371031360.

The previous prime is 121331099987. The next prime is 121331100019. The reversal of 121331100011 is 110001133121.

It is a happy number.

It is not a de Polignac number, because 121331100011 - 2⁶ = 121331099947 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121331100019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217829345 + ... + 217829901.

It is an arithmetic number, because the mean of its divisors is an integer number (2962779120).

Almost surely, 2^121331100011 is an apocalyptic number.

121331100011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

121331100011 is a deficient number, since it is larger than the sum of its proper divisors (20882297749).

121331100011 is a wasteful number, since it uses less digits than its factorization.

121331100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 121331100011 its reverse (110001133121), we get a palindrome (231332233132).

The spelling of 121331100011 in words is "one hundred twenty-one billion, three hundred thirty-one million, one hundred thousand, eleven".