111121012122101 has 2 divisors, whose sum is σ = 111121012122102. Its totient is φ = 111121012122100.

The previous prime is 111121012122037. The next prime is 111121012122173. The reversal of 111121012122101 is 101221210121111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102589530565201 + 8531481556900 = 10128649^2 + 2920870^2 .

It is a cyclic number.

It is not a de Polignac number, because 111121012122101 - 2⁶ = 111121012122037 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 111121012122101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111121012122401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55560506061050 + 55560506061051.

It is an arithmetic number, because the mean of its divisors is an integer number (55560506061051).

Almost surely, 2^{111121012122101} is an apocalyptic number.

It is an amenable number.

111121012122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

111121012122101 is an equidigital number, since it uses as much as digits as its factorization.

111121012122101 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 111121012122101 its reverse (101221210121111), we get a palindrome (212342222243212).

The spelling of 111121012122101 in words is "one hundred eleven trillion, one hundred twenty-one billion, twelve million, one hundred twenty-two thousand, one hundred one".