122112111131009 has 2 divisors, whose sum is σ = 122112111131010. Its totient is φ = 122112111131008.

The previous prime is 122112111130993. The next prime is 122112111131071. The reversal of 122112111131009 is 900131111211221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111595243738225 + 10516867392784 = 10563865^2 + 3242972^2 .

It is a cyclic number.

It is not a de Polignac number, because 122112111131009 - 2⁴ = 122112111130993 is a prime.

It is a super-2 number, since 2×122112111131009² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122112111134009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61056055565504 + 61056055565505.

It is an arithmetic number, because the mean of its divisors is an integer number (61056055565505).

Almost surely, 2^{122112111131009} is an apocalyptic number.

It is an amenable number.

122112111131009 is a deficient number, since it is larger than the sum of its proper divisors (1).

122112111131009 is an equidigital number, since it uses as much as digits as its factorization.

122112111131009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 26.

The spelling of 122112111131009 in words is "one hundred twenty-two trillion, one hundred twelve billion, one hundred eleven million, one hundred thirty-one thousand, nine".