100100101210181 has 2 divisors, whose sum is σ = 100100101210182. Its totient is φ = 100100101210180.

The previous prime is 100100101210171. The next prime is 100100101210211. The reversal of 100100101210181 is 181012101001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99659610157156 + 440491053025 = 9982966^2 + 663695^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100101210181 - 2¹⁸ = 100100100948037 is a prime.

It is a super-2 number, since 2×100100101210181² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100101210111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050050605090 + 50050050605091.

It is an arithmetic number, because the mean of its divisors is an integer number (50050050605091).

Almost surely, 2^{100100101210181} is an apocalyptic number.

It is an amenable number.

100100101210181 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100101210181 is an equidigital number, since it uses as much as digits as its factorization.

100100101210181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 100100101210181 its reverse (181012101001001), we get a palindrome (281112202211182).

The spelling of 100100101210181 in words is "one hundred trillion, one hundred billion, one hundred one million, two hundred ten thousand, one hundred eighty-one".