100121021102269 has 2 divisors, whose sum is σ = 100121021102270. Its totient is φ = 100121021102268.

The previous prime is 100121021102203. The next prime is 100121021102293. The reversal of 100121021102269 is 962201120121001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88438262922244 + 11682758180025 = 9404162^2 + 3418005^2 .

It is an emirp because it is prime and its reverse (962201120121001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100121021102269 - 2⁹ = 100121021101757 is a prime.

It is a super-2 number, since 2×100121021102269² (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 (100121021102969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060510551134 + 50060510551135.

It is an arithmetic number, because the mean of its divisors is an integer number (50060510551135).

Almost surely, 2^{100121021102269} is an apocalyptic number.

It is an amenable number.

100121021102269 is a deficient number, since it is larger than the sum of its proper divisors (1).

100121021102269 is an equidigital number, since it uses as much as digits as its factorization.

100121021102269 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 28.

The spelling of 100121021102269 in words is "one hundred trillion, one hundred twenty-one billion, twenty-one million, one hundred two thousand, two hundred sixty-nine".