122111001122101 has 2 divisors, whose sum is σ = 122111001122102. Its totient is φ = 122111001122100.

The previous prime is 122111001122057. The next prime is 122111001122129. The reversal of 122111001122101 is 101221100111221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96301857849201 + 25809143272900 = 9813351^2 + 5080270^2 .

It is an emirp because it is prime and its reverse (101221100111221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122111001122101 - 2⁷ = 122111001121973 is a prime.

It is a super-2 number, since 2×122111001122101² (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 (122111001123101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61055500561050 + 61055500561051.

It is an arithmetic number, because the mean of its divisors is an integer number (61055500561051).

Almost surely, 2^{122111001122101} is an apocalyptic number.

It is an amenable number.

122111001122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122111001122101 is an equidigital number, since it uses as much as digits as its factorization.

122111001122101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 122111001122101 its reverse (101221100111221), we get a palindrome (223332101233322).

The spelling of 122111001122101 in words is "one hundred twenty-two trillion, one hundred eleven billion, one million, one hundred twenty-two thousand, one hundred one".