100121012022181 has 2 divisors, whose sum is σ = 100121012022182. Its totient is φ = 100121012022180.

The previous prime is 100121012022173. The next prime is 100121012022233. The reversal of 100121012022181 is 181220210121001.

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., 94682046420900 + 5438965601281 = 9730470^2 + 2332159^2 .

It is a cyclic number.

It is not a de Polignac number, because 100121012022181 - 2³ = 100121012022173 is a prime.

It is a super-2 number, since 2×100121012022181² (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 (100121012020181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060506011090 + 50060506011091.

It is an arithmetic number, because the mean of its divisors is an integer number (50060506011091).

Almost surely, 2^{100121012022181} is an apocalyptic number.

It is an amenable number.

100121012022181 is a deficient number, since it is larger than the sum of its proper divisors (1).

100121012022181 is an equidigital number, since it uses as much as digits as its factorization.

100121012022181 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 22.

Adding to 100121012022181 its reverse (181220210121001), we get a palindrome (281341222143182).

The spelling of 100121012022181 in words is "one hundred trillion, one hundred twenty-one billion, twelve million, twenty-two thousand, one hundred eighty-one".