122121112111101 has 16 divisors (see below), whose sum is σ = 180920883270400. Its totient is φ = 81413752009824.

The previous prime is 122121112111069. The next prime is 122121112111121. The reversal of 122121112111101 is 101111211121221.

122121112111101 is a `hidden beast` number, since 1 + 221 + 211 + 121 + 1 + 110 + 1 = 666.

It is not a de Polignac number, because 122121112111101 - 2⁵ = 122121112111069 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122121112111121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1926976 + ... + 15746601.

It is an arithmetic number, because the mean of its divisors is an integer number (11307555204400).

Almost surely, 2^{122121112111101} is an apocalyptic number.

It is an amenable number.

122121112111101 is a deficient number, since it is larger than the sum of its proper divisors (58799771159299).

122121112111101 is a wasteful number, since it uses less digits than its factorization.

122121112111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17929505 (or 17929499 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 122121112111101 its reverse (101111211121221), we get a palindrome (223232323232322).

The spelling of 122121112111101 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, one hundred twelve million, one hundred eleven thousand, one hundred one".