122101122220211 has 8 divisors (see below), whose sum is σ = 127427663996160. Its totient is φ = 116776063555272.

The previous prime is 122101122220087. The next prime is 122101122220213. The reversal of 122101122220211 is 112022221101221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122101122220211 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122101122220213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 370609505 + ... + 370938818.

It is an arithmetic number, because the mean of its divisors is an integer number (15928457999520).

Almost surely, 2^{122101122220211} is an apocalyptic number.

122101122220211 is a deficient number, since it is larger than the sum of its proper divisors (5326541775949).

122101122220211 is an equidigital number, since it uses as much as digits as its factorization.

122101122220211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741555505.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 122101122220211 its reverse (112022221101221), we get a palindrome (234123343321432).

The spelling of 122101122220211 in words is "one hundred twenty-two trillion, one hundred one billion, one hundred twenty-two million, two hundred twenty thousand, two hundred eleven".