121001221101101 has 16 divisors (see below), whose sum is σ = 132464994399360. Its totient is φ = 109614799379520.

The previous prime is 121001221101091. The next prime is 121001221101121. The reversal of 121001221101101 is 101101122100121.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-121001221101101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121001221101121) 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 15 ways as a sum of consecutive naturals, for example, 30703955 + ... + 34419983.

It is an arithmetic number, because the mean of its divisors is an integer number (8279062149960).

Almost surely, 2^{121001221101101} is an apocalyptic number.

121001221101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121001221101101 is a deficient number, since it is larger than the sum of its proper divisors (11463773298259).

121001221101101 is a wasteful number, since it uses less digits than its factorization.

121001221101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3726436.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 121001221101101 its reverse (101101122100121), we get a palindrome (222102343201222).

The spelling of 121001221101101 in words is "one hundred twenty-one trillion, one billion, two hundred twenty-one million, one hundred one thousand, one hundred one".