112111221020101 has 2 divisors, whose sum is σ = 112111221020102. Its totient is φ = 112111221020100.

The previous prime is 112111221020093. The next prime is 112111221020177. The reversal of 112111221020101 is 101020122111211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107371064724001 + 4740156296100 = 10362001^2 + 2177190^2 .

It is a cyclic number.

It is not a de Polignac number, because 112111221020101 - 2³ = 112111221020093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112111221000101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56055610510050 + 56055610510051.

It is an arithmetic number, because the mean of its divisors is an integer number (56055610510051).

Almost surely, 2^{112111221020101} is an apocalyptic number.

It is an amenable number.

112111221020101 is a deficient number, since it is larger than the sum of its proper divisors (1).

112111221020101 is an equidigital number, since it uses as much as digits as its factorization.

112111221020101 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 112111221020101 its reverse (101020122111211), we get a palindrome (213131343131312).

The spelling of 112111221020101 in words is "one hundred twelve trillion, one hundred eleven billion, two hundred twenty-one million, twenty thousand, one hundred one".