122111110001 has 2 divisors, whose sum is σ = 122111110002. Its totient is φ = 122111110000.

The previous prime is 122111109983. The next prime is 122111110021. The reversal of 122111110001 is 100011111221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101012094976 + 21099015025 = 317824^2 + 145255^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122111110001 is a prime.

It is a super-2 number, since 2×122111110001² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122111110021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61055555000 + 61055555001.

It is an arithmetic number, because the mean of its divisors is an integer number (61055555001).

Almost surely, 2^122111110001 is an apocalyptic number.

It is an amenable number.

122111110001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122111110001 is an equidigital number, since it uses as much as digits as its factorization.

122111110001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 122111110001 its reverse (100011111221), we get a palindrome (222122221222).

The spelling of 122111110001 in words is "one hundred twenty-two billion, one hundred eleven million, one hundred ten thousand, one".