111201111020101 has 2 divisors, whose sum is σ = 111201111020102. Its totient is φ = 111201111020100.

The previous prime is 111201111020089. The next prime is 111201111020113. The reversal of 111201111020101 is 101020111102111.

It is a balanced prime because it is at equal distance from previous prime (111201111020089) and next prime (111201111020113).

It can be written as a sum of positive squares in only one way, i.e., 65538318389476 + 45662792630625 = 8095574^2 + 6757425^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111201111020101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111201111030101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55600555510050 + 55600555510051.

It is an arithmetic number, because the mean of its divisors is an integer number (55600555510051).

Almost surely, 2^{111201111020101} is an apocalyptic number.

It is an amenable number.

111201111020101 is a deficient number, since it is larger than the sum of its proper divisors (1).

111201111020101 is an equidigital number, since it uses as much as digits as its factorization.

111201111020101 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 13.

Adding to 111201111020101 its reverse (101020111102111), we get a palindrome (212221222122212).

The spelling of 111201111020101 in words is "one hundred eleven trillion, two hundred one billion, one hundred eleven million, twenty thousand, one hundred one".