122111001000097 has 2 divisors, whose sum is σ = 122111001000098. Its totient is φ = 122111001000096.

The previous prime is 122111001000041. The next prime is 122111001000211. The reversal of 122111001000097 is 790000100111221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80088467014656 + 42022533985441 = 8949216^2 + 6482479^2 .

It is a cyclic number.

It is not a de Polignac number, because 122111001000097 - 2³¹ = 122108853516449 is a prime.

It is a super-2 number, since 2×122111001000097² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122111001000797) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61055500500048 + 61055500500049.

It is an arithmetic number, because the mean of its divisors is an integer number (61055500500049).

Almost surely, 2^{122111001000097} is an apocalyptic number.

It is an amenable number.

122111001000097 is a deficient number, since it is larger than the sum of its proper divisors (1).

122111001000097 is an equidigital number, since it uses as much as digits as its factorization.

122111001000097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252, while the sum is 25.

The spelling of 122111001000097 in words is "one hundred twenty-two trillion, one hundred eleven billion, one million, ninety-seven", and thus it is an aban number.