122011141110221 has 16 divisors (see below), whose sum is σ = 134203976419200. Its totient is φ = 110918485196640.

The previous prime is 122011141110161. The next prime is 122011141110227.

122011141110221 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-122011141110221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122011141110193 and 122011141110202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122011141110227) 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, 379559000 + ... + 379880318.

It is an arithmetic number, because the mean of its divisors is an integer number (8387748526200).

Almost surely, 2^{122011141110221} is an apocalyptic number.

122011141110221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122011141110221 is a deficient number, since it is larger than the sum of its proper divisors (12192835308979).

122011141110221 is an equidigital number, since it uses as much as digits as its factorization.

122011141110221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606641 (or 606619 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

The spelling of 122011141110221 in words is "one hundred twenty-two trillion, eleven billion, one hundred forty-one million, one hundred ten thousand, two hundred twenty-one".