122133018127 has 2 divisors, whose sum is σ = 122133018128. Its totient is φ = 122133018126.

The previous prime is 122133018079. The next prime is 122133018131. The reversal of 122133018127 is 721810331221.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122133018127 is a prime.

It is a super-2 number, since 2×122133018127² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122133018187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61066509063 + 61066509064.

It is an arithmetic number, because the mean of its divisors is an integer number (61066509064).

Almost surely, 2^122133018127 is an apocalyptic number.

122133018127 is a deficient number, since it is larger than the sum of its proper divisors (1).

122133018127 is an equidigital number, since it uses as much as digits as its factorization.

122133018127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 31.

Adding to 122133018127 its reverse (721810331221), we get a palindrome (843943349348).

The spelling of 122133018127 in words is "one hundred twenty-two billion, one hundred thirty-three million, eighteen thousand, one hundred twenty-seven".