111121112122001 has 2 divisors, whose sum is σ = 111121112122002. Its totient is φ = 111121112122000.

The previous prime is 111121112121991. The next prime is 111121112122037. The reversal of 111121112122001 is 100221211121111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103673938561600 + 7447173560401 = 10182040^2 + 2728951^2 .

It is an emirp because it is prime and its reverse (100221211121111) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111121112122001 is a prime.

It is not a weakly prime, because it can be changed into another prime (111121112127001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55560556061000 + 55560556061001.

It is an arithmetic number, because the mean of its divisors is an integer number (55560556061001).

Almost surely, 2^{111121112122001} is an apocalyptic number.

It is an amenable number.

111121112122001 is a deficient number, since it is larger than the sum of its proper divisors (1).

111121112122001 is an equidigital number, since it uses as much as digits as its factorization.

111121112122001 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 17.

Adding to 111121112122001 its reverse (100221211121111), we get a palindrome (211342323243112).

The spelling of 111121112122001 in words is "one hundred eleven trillion, one hundred twenty-one billion, one hundred twelve million, one hundred twenty-two thousand, one".