211112002102181 has 2 divisors, whose sum is σ = 211112002102182. Its totient is φ = 211112002102180.

The previous prime is 211112002102051. The next prime is 211112002102189. The reversal of 211112002102181 is 181201200211112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 187552093741156 + 23559908361025 = 13694966^2 + 4853855^2 .

It is a cyclic number.

It is not a de Polignac number, because 211112002102181 - 2²⁶ = 211111934993317 is a prime.

It is a super-4 number, since 4×211112002102181⁴ (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211112002102189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105556001051090 + 105556001051091.

It is an arithmetic number, because the mean of its divisors is an integer number (105556001051091).

Almost surely, 2^{211112002102181} is an apocalyptic number.

It is an amenable number.

211112002102181 is a deficient number, since it is larger than the sum of its proper divisors (1).

211112002102181 is an equidigital number, since it uses as much as digits as its factorization.

211112002102181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 23.

Adding to 211112002102181 its reverse (181201200211112), we get a palindrome (392313202313293).

The spelling of 211112002102181 in words is "two hundred eleven trillion, one hundred twelve billion, two million, one hundred two thousand, one hundred eighty-one".