112111222202101 has 2 divisors, whose sum is σ = 112111222202102. Its totient is φ = 112111222202100.

The previous prime is 112111222202053. The next prime is 112111222202137. The reversal of 112111222202101 is 101202222111211.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62637569072100 + 49473653130001 = 7914390^2 + 7033751^2 .

It is a cyclic number.

It is not a de Polignac number, because 112111222202101 - 2⁷ = 112111222201973 is a prime.

It is a super-2 number, since 2×112111222202101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112111222202401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56055611101050 + 56055611101051.

It is an arithmetic number, because the mean of its divisors is an integer number (56055611101051).

Almost surely, 2^{112111222202101} is an apocalyptic number.

It is an amenable number.

112111222202101 is a deficient number, since it is larger than the sum of its proper divisors (1).

112111222202101 is an equidigital number, since it uses as much as digits as its factorization.

112111222202101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 112111222202101 its reverse (101202222111211), we get a palindrome (213313444313312).

The spelling of 112111222202101 in words is "one hundred twelve trillion, one hundred eleven billion, two hundred twenty-two million, two hundred two thousand, one hundred one".