122101021120111 has 16 divisors (see below), whose sum is σ = 133293788580096. Its totient is φ = 110923726320000.

The previous prime is 122101021120081. The next prime is 122101021120153. The reversal of 122101021120111 is 111021120101221.

It is not a de Polignac number, because 122101021120111 - 2⁵ = 122101021120079 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 (122101021120811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90543351 + ... + 91881991.

It is an arithmetic number, because the mean of its divisors is an integer number (8330861786256).

Almost surely, 2^{122101021120111} is an apocalyptic number.

122101021120111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122101021120111 is a deficient number, since it is larger than the sum of its proper divisors (11192767459985).

122101021120111 is a wasteful number, since it uses less digits than its factorization.

122101021120111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344414.

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

Adding to 122101021120111 its reverse (111021120101221), we get a palindrome (233122141221332).

The spelling of 122101021120111 in words is "one hundred twenty-two trillion, one hundred one billion, twenty-one million, one hundred twenty thousand, one hundred eleven".