122101111112201 has 6 divisors (see below), whose sum is σ = 132215996056590. Its totient is φ = 112708717949568.

The previous prime is 122101111112143. The next prime is 122101111112209. The reversal of 122101111112201 is 102211111101221.

It can be written as a sum of positive squares in 3 ways, for example, as 11690381574400 + 110410729537801 = 3419120^2 + 10507651^2 .

It is not a de Polignac number, because 122101111112201 - 2¹⁸ = 122101110850057 is a prime.

It is a super-2 number, since 2×122101111112201² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122101111112201.

It is not an unprimeable number, because it can be changed into a prime (122101111112209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 361245890696 + ... + 361245891033.

It is an arithmetic number, because the mean of its divisors is an integer number (22035999342765).

Almost surely, 2^{122101111112201} is an apocalyptic number.

It is an amenable number.

122101111112201 is a deficient number, since it is larger than the sum of its proper divisors (10114884944389).

122101111112201 is an equidigital number, since it uses as much as digits as its factorization.

122101111112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722491781755 (or 722491781742 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 122101111112201 its reverse (102211111101221), we get a palindrome (224312222213422).

The spelling of 122101111112201 in words is "one hundred twenty-two trillion, one hundred one billion, one hundred eleven million, one hundred twelve thousand, two hundred one".