122101011000161 has 2 divisors, whose sum is σ = 122101011000162. Its totient is φ = 122101011000160.

The previous prime is 122101011000047. The next prime is 122101011000197. The reversal of 122101011000161 is 161000110101221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120660206887936 + 1440804112225 = 10984544^2 + 1200335^2 .

It is a cyclic number.

It is not a de Polignac number, because 122101011000161 - 2⁴² = 117702964489057 is a prime.

It is a super-2 number, since 2×122101011000161² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122101011005161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050505500080 + 61050505500081.

It is an arithmetic number, because the mean of its divisors is an integer number (61050505500081).

Almost surely, 2^{122101011000161} is an apocalyptic number.

It is an amenable number.

122101011000161 is a deficient number, since it is larger than the sum of its proper divisors (1).

122101011000161 is an equidigital number, since it uses as much as digits as its factorization.

122101011000161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 122101011000161 its reverse (161000110101221), we get a palindrome (283101121101382).

The spelling of 122101011000161 in words is "one hundred twenty-two trillion, one hundred one billion, eleven million, one hundred sixty-one", and thus it is an aban number.