121221101112001 has 16 divisors (see below), whose sum is σ = 133590141642816. Its totient is φ = 109077531400000.

The previous prime is 121221101111993. The next prime is 121221101112011. The reversal of 121221101112001 is 100211101122121.

It is a cyclic number.

It is not a de Polignac number, because 121221101112001 - 2³ = 121221101111993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121221101112011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12438430 + ... + 19928791.

It is an arithmetic number, because the mean of its divisors is an integer number (8349383852676).

Almost surely, 2^{121221101112001} is an apocalyptic number.

121221101112001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121221101112001 is a deficient number, since it is larger than the sum of its proper divisors (12369040530815).

121221101112001 is a wasteful number, since it uses less digits than its factorization.

121221101112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32370704.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 121221101112001 its reverse (100211101122121), we get a palindrome (221432202234122).

The spelling of 121221101112001 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, one hundred one million, one hundred twelve thousand, one".