100212120181 has 2 divisors, whose sum is σ = 100212120182. Its totient is φ = 100212120180.

The previous prime is 100212120167. The next prime is 100212120187. The reversal of 100212120181 is 181021212001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97677501156 + 2534619025 = 312534^2 + 50345^2 .

It is a cyclic number.

It is not a de Polignac number, because 100212120181 - 2¹⁹ = 100211595893 is a prime.

It is a super-2 number, since 2×100212120181² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100212120187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50106060090 + 50106060091.

It is an arithmetic number, because the mean of its divisors is an integer number (50106060091).

Almost surely, 2^100212120181 is an apocalyptic number.

It is an amenable number.

100212120181 is a deficient number, since it is larger than the sum of its proper divisors (1).

100212120181 is an equidigital number, since it uses as much as digits as its factorization.

100212120181 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 19.

Adding to 100212120181 its reverse (181021212001), we get a palindrome (281233332182).

The spelling of 100212120181 in words is "one hundred billion, two hundred twelve million, one hundred twenty thousand, one hundred eighty-one".