101102200210181 has 2 divisors, whose sum is σ = 101102200210182. Its totient is φ = 101102200210180.

The previous prime is 101102200210097. The next prime is 101102200210301. The reversal of 101102200210181 is 181012002201101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82492423861156 + 18609776349025 = 9082534^2 + 4313905^2 .

It is an emirp because it is prime and its reverse (181012002201101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101102200210181 is a prime.

It is a super-2 number, since 2×101102200210181² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101102200210381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50551100105090 + 50551100105091.

It is an arithmetic number, because the mean of its divisors is an integer number (50551100105091).

Almost surely, 2^{101102200210181} is an apocalyptic number.

It is an amenable number.

101102200210181 is a deficient number, since it is larger than the sum of its proper divisors (1).

101102200210181 is an equidigital number, since it uses as much as digits as its factorization.

101102200210181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 101102200210181 its reverse (181012002201101), we get a palindrome (282114202411282).

The spelling of 101102200210181 in words is "one hundred one trillion, one hundred two billion, two hundred million, two hundred ten thousand, one hundred eighty-one".