122011121011229 has 2 divisors, whose sum is σ = 122011121011230. Its totient is φ = 122011121011228.

The previous prime is 122011121011189. The next prime is 122011121011231. The reversal of 122011121011229 is 922110121110221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121948622011225 + 62499000004 = 11043035^2 + 249998^2 .

It is a cyclic number.

It is not a de Polignac number, because 122011121011229 - 2⁸ = 122011121010973 is a prime.

Together with 122011121011231, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 122011121011198 and 122011121011207.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122011121011729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61005560505614 + 61005560505615.

It is an arithmetic number, because the mean of its divisors is an integer number (61005560505615).

Almost surely, 2^{122011121011229} is an apocalyptic number.

It is an amenable number.

122011121011229 is a deficient number, since it is larger than the sum of its proper divisors (1).

122011121011229 is an equidigital number, since it uses as much as digits as its factorization.

122011121011229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 26.

The spelling of 122011121011229 in words is "one hundred twenty-two trillion, eleven billion, one hundred twenty-one million, eleven thousand, two hundred twenty-nine".