112211102100113 has 2 divisors, whose sum is σ = 112211102100114. Its totient is φ = 112211102100112.

The previous prime is 112211102100059. The next prime is 112211102100173. The reversal of 112211102100113 is 311001201112211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59403891441664 + 52807210658449 = 7707392^2 + 7266857^2 .

It is a cyclic number.

It is not a de Polignac number, because 112211102100113 - 2¹² = 112211102096017 is a prime.

It is a super-2 number, since 2×112211102100113² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112211102100091 and 112211102100100.

It is not a weakly prime, because it can be changed into another prime (112211102100173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56105551050056 + 56105551050057.

It is an arithmetic number, because the mean of its divisors is an integer number (56105551050057).

Almost surely, 2^{112211102100113} is an apocalyptic number.

It is an amenable number.

112211102100113 is a deficient number, since it is larger than the sum of its proper divisors (1).

112211102100113 is an equidigital number, since it uses as much as digits as its factorization.

112211102100113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 112211102100113 its reverse (311001201112211), we get a palindrome (423212303212324).

The spelling of 112211102100113 in words is "one hundred twelve trillion, two hundred eleven billion, one hundred two million, one hundred thousand, one hundred thirteen".