112111222212001 has 2 divisors, whose sum is σ = 112111222212002. Its totient is φ = 112111222212000.

The previous prime is 112111222211977. The next prime is 112111222212013. The reversal of 112111222212001 is 100212222111211.

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., 81212521216401 + 30898700995600 = 9011799^2 + 5558660^2 .

It is a cyclic number.

It is not a de Polignac number, because 112111222212001 - 2⁵ = 112111222211969 is a prime.

It is a super-2 number, since 2×112111222212001² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112111222212001.

It is not a weakly prime, because it can be changed into another prime (112111222212071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56055611106000 + 56055611106001.

It is an arithmetic number, because the mean of its divisors is an integer number (56055611106001).

Almost surely, 2^{112111222212001} is an apocalyptic number.

It is an amenable number.

112111222212001 is a deficient number, since it is larger than the sum of its proper divisors (1).

112111222212001 is an equidigital number, since it uses as much as digits as its factorization.

112111222212001 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 112111222212001 its reverse (100212222111211), we get a palindrome (212323444323212).

The spelling of 112111222212001 in words is "one hundred twelve trillion, one hundred eleven billion, two hundred twenty-two million, two hundred twelve thousand, one".