122111220101 has 8 divisors (see below), whose sum is σ = 132078649080. Its totient is φ = 112225828032.

The previous prime is 122111220067. The next prime is 122111220173. The reversal of 122111220101 is 101022111221.

It can be written as a sum of positive squares in 4 ways, for example, as 54901176100 + 67210044001 = 234310^2 + 259249^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 122111220101 - 2²² = 122107025797 is a prime.

It is a super-2 number, since 2×122111220101² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122111220001) 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, 20506130 + ... + 20512083.

It is an arithmetic number, because the mean of its divisors is an integer number (16509831135).

Almost surely, 2^122111220101 is an apocalyptic number.

It is an amenable number.

122111220101 is a deficient number, since it is larger than the sum of its proper divisors (9967428979).

122111220101 is a wasteful number, since it uses less digits than its factorization.

122111220101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41018455.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122111220101 its reverse (101022111221), we get a palindrome (223133331322).

The spelling of 122111220101 in words is "one hundred twenty-two billion, one hundred eleven million, two hundred twenty thousand, one hundred one".