211112201100113 has 2 divisors, whose sum is σ = 211112201100114. Its totient is φ = 211112201100112.

The previous prime is 211112201100109. The next prime is 211112201100121. The reversal of 211112201100113 is 311001102211112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 168802275866449 + 42309925233664 = 12992393^2 + 6504608^2 .

It is a cyclic number.

It is not a de Polignac number, because 211112201100113 - 2² = 211112201100109 is a prime.

It is a super-2 number, since 2×211112201100113² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211112201100091 and 211112201100100.

It is not a weakly prime, because it can be changed into another prime (211112201100103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105556100550056 + 105556100550057.

It is an arithmetic number, because the mean of its divisors is an integer number (105556100550057).

Almost surely, 2^{211112201100113} is an apocalyptic number.

It is an amenable number.

211112201100113 is a deficient number, since it is larger than the sum of its proper divisors (1).

211112201100113 is an equidigital number, since it uses as much as digits as its factorization.

211112201100113 is an odious number, because the sum of its binary digits is odd.

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

Adding to 211112201100113 its reverse (311001102211112), we get a palindrome (522113303311225).

The spelling of 211112201100113 in words is "two hundred eleven trillion, one hundred twelve billion, two hundred one million, one hundred thousand, one hundred thirteen".