122111001102157 has 2 divisors, whose sum is σ = 122111001102158. Its totient is φ = 122111001102156.

The previous prime is 122111001102047. The next prime is 122111001102179. The reversal of 122111001102157 is 751201100111221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 116316095580036 + 5794905522121 = 10784994^2 + 2407261^2 .

It is a cyclic number.

It is not a de Polignac number, because 122111001102157 - 2³¹ = 122108853618509 is a prime.

It is a super-2 number, since 2×122111001102157² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122111001105157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61055500551078 + 61055500551079.

It is an arithmetic number, because the mean of its divisors is an integer number (61055500551079).

Almost surely, 2^{122111001102157} is an apocalyptic number.

It is an amenable number.

122111001102157 is a deficient number, since it is larger than the sum of its proper divisors (1).

122111001102157 is an equidigital number, since it uses as much as digits as its factorization.

122111001102157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 280, while the sum is 25.

Adding to 122111001102157 its reverse (751201100111221), we get a palindrome (873312101213378).

The spelling of 122111001102157 in words is "one hundred twenty-two trillion, one hundred eleven billion, one million, one hundred two thousand, one hundred fifty-seven".