122101706617011 has 24 divisors (see below), whose sum is σ = 198609227581440. Its totient is φ = 71613904172400.

The previous prime is 122101706616997. The next prime is 122101706617019. The reversal of 122101706617011 is 110716607101221.

122101706617011 is a `hidden beast` number, since 1 + 2 + 2 + 10 + 17 + 0 + 6 + 617 + 0 + 11 = 666.

It is not a de Polignac number, because 122101706617011 - 2¹⁸ = 122101706354867 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122101706617019) 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 23 ways as a sum of consecutive naturals, for example, 19892748091 + ... + 19892754228.

It is an arithmetic number, because the mean of its divisors is an integer number (8275384482560).

Almost surely, 2^{122101706617011} is an apocalyptic number.

122101706617011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122101706617011 is a deficient number, since it is larger than the sum of its proper divisors (76507520964429).

122101706617011 is a wasteful number, since it uses less digits than its factorization.

122101706617011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39785502367 (or 39785502364 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 36.

The spelling of 122101706617011 in words is "one hundred twenty-two trillion, one hundred one billion, seven hundred six million, six hundred seventeen thousand, eleven".