101211212200181 has 2 divisors, whose sum is σ = 101211212200182. Its totient is φ = 101211212200180.

The previous prime is 101211212200141. The next prime is 101211212200213. The reversal of 101211212200181 is 181002212112101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58731776559556 + 42479435640625 = 7663666^2 + 6517625^2 .

It is a cyclic number.

It is not a de Polignac number, because 101211212200181 - 2³⁰ = 101210138458357 is a prime.

It is a super-2 number, since 2×101211212200181² (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 (101211212200141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605606100090 + 50605606100091.

It is an arithmetic number, because the mean of its divisors is an integer number (50605606100091).

Almost surely, 2^{101211212200181} is an apocalyptic number.

It is an amenable number.

101211212200181 is a deficient number, since it is larger than the sum of its proper divisors (1).

101211212200181 is an equidigital number, since it uses as much as digits as its factorization.

101211212200181 is an odious number, because the sum of its binary digits is odd.

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

Adding to 101211212200181 its reverse (181002212112101), we get a palindrome (282213424312282).

The spelling of 101211212200181 in words is "one hundred one trillion, two hundred eleven billion, two hundred twelve million, two hundred thousand, one hundred eighty-one".