122111201001121 has 2 divisors, whose sum is σ = 122111201001122. Its totient is φ = 122111201001120.

The previous prime is 122111201001103. The next prime is 122111201001137. The reversal of 122111201001121 is 121100102111221.

It is an a-pointer prime, because the next prime (122111201001137) can be obtained adding 122111201001121 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84493967043600 + 37617233957521 = 9192060^2 + 6133289^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122111201001121 is a prime.

It is a super-2 number, since 2×122111201001121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122111201001095 and 122111201001104.

It is not a weakly prime, because it can be changed into another prime (122111201001721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61055600500560 + 61055600500561.

It is an arithmetic number, because the mean of its divisors is an integer number (61055600500561).

Almost surely, 2^{122111201001121} is an apocalyptic number.

It is an amenable number.

122111201001121 is a deficient number, since it is larger than the sum of its proper divisors (1).

122111201001121 is an equidigital number, since it uses as much as digits as its factorization.

122111201001121 is an odious number, because the sum of its binary digits is odd.

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

Adding to 122111201001121 its reverse (121100102111221), we get a palindrome (243211303112342).

The spelling of 122111201001121 in words is "one hundred twenty-two trillion, one hundred eleven billion, two hundred one million, one thousand, one hundred twenty-one".