101112222200113 has 2 divisors, whose sum is σ = 101112222200114. Its totient is φ = 101112222200112.

The previous prime is 101112222200107. The next prime is 101112222200167. The reversal of 101112222200113 is 311002222211101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78984154613809 + 22128067586304 = 8887303^2 + 4704048^2 .

It is a cyclic number.

It is not a de Polignac number, because 101112222200113 - 2¹⁷ = 101112222069041 is a prime.

It is not a weakly prime, because it can be changed into another prime (101112222206113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556111100056 + 50556111100057.

It is an arithmetic number, because the mean of its divisors is an integer number (50556111100057).

Almost surely, 2^{101112222200113} is an apocalyptic number.

It is an amenable number.

101112222200113 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112222200113 is an equidigital number, since it uses as much as digits as its factorization.

101112222200113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 101112222200113 its reverse (311002222211101), we get a palindrome (412114444411214).

The spelling of 101112222200113 in words is "one hundred one trillion, one hundred twelve billion, two hundred twenty-two million, two hundred thousand, one hundred thirteen".