121220121112101 has 32 divisors (see below), whose sum is σ = 195911921049600. Its totient is φ = 73466509742640.

The previous prime is 121220121112039. The next prime is 121220121112133. The reversal of 121220121112101 is 101211121022121.

It is a happy number.

121220121112101 is a `hidden beast` number, since 1 + 21 + 220 + 1 + 211 + 1 + 210 + 1 = 666.

It is not a de Polignac number, because 121220121112101 - 2¹⁸ = 121220120849957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121220121112001) 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 31 ways as a sum of consecutive naturals, for example, 179450940 + ... + 180125178.

It is an arithmetic number, because the mean of its divisors is an integer number (6122247532800).

Almost surely, 2^{121220121112101} is an apocalyptic number.

121220121112101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121220121112101 is a deficient number, since it is larger than the sum of its proper divisors (74691799937499).

121220121112101 is a wasteful number, since it uses less digits than its factorization.

121220121112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279606 (or 1279600 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 121220121112101 its reverse (101211121022121), we get a palindrome (222431242134222).

The spelling of 121220121112101 in words is "one hundred twenty-one trillion, two hundred twenty billion, one hundred twenty-one million, one hundred twelve thousand, one hundred one".