122221011201101 has 2 divisors, whose sum is σ = 122221011201102. Its totient is φ = 122221011201100.

The previous prime is 122221011201097. The next prime is 122221011201119. The reversal of 122221011201101 is 101102110122221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94651475752201 + 27569535448900 = 9728899^2 + 5250670^2 .

It is a cyclic number.

It is not a de Polignac number, because 122221011201101 - 2² = 122221011201097 is a prime.

It is a super-2 number, since 2×122221011201101² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122221011201101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122221011201161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61110505600550 + 61110505600551.

It is an arithmetic number, because the mean of its divisors is an integer number (61110505600551).

Almost surely, 2^{122221011201101} is an apocalyptic number.

It is an amenable number.

122221011201101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122221011201101 is an equidigital number, since it uses as much as digits as its factorization.

122221011201101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 122221011201101 its reverse (101102110122221), we get a palindrome (223323121323322).

The spelling of 122221011201101 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, eleven million, two hundred one thousand, one hundred one".