122121011411081 has 2 divisors, whose sum is σ = 122121011411082. Its totient is φ = 122121011411080.

The previous prime is 122121011411023. The next prime is 122121011411083. The reversal of 122121011411081 is 180114110121221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102820005600400 + 19301005810681 = 10140020^2 + 4393291^2 .

It is a cyclic number.

It is not a de Polignac number, because 122121011411081 - 2⁴² = 117722964899977 is a prime.

It is a super-3 number, since 3×122121011411081³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 122121011411083, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122121011411081.

It is not a weakly prime, because it can be changed into another prime (122121011411083) 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 as a sum of consecutive naturals, namely, 61060505705540 + 61060505705541.

It is an arithmetic number, because the mean of its divisors is an integer number (61060505705541).

Almost surely, 2^{122121011411081} is an apocalyptic number.

It is an amenable number.

122121011411081 is a deficient number, since it is larger than the sum of its proper divisors (1).

122121011411081 is an equidigital number, since it uses as much as digits as its factorization.

122121011411081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 26.

The spelling of 122121011411081 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, eleven million, four hundred eleven thousand, eighty-one".