100121001221089 has 2 divisors, whose sum is σ = 100121001221090. Its totient is φ = 100121001221088.

The previous prime is 100121001221077. The next prime is 100121001221117. The reversal of 100121001221089 is 980122100121001.

It is an a-pointer prime, because the next prime (100121001221117) can be obtained adding 100121001221089 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87164313009489 + 12956688211600 = 9336183^2 + 3599540^2 .

It is a cyclic number.

It is not a de Polignac number, because 100121001221089 - 2⁵ = 100121001221057 is a prime.

It is not a weakly prime, because it can be changed into another prime (100121001221029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060500610544 + 50060500610545.

It is an arithmetic number, because the mean of its divisors is an integer number (50060500610545).

Almost surely, 2^{100121001221089} is an apocalyptic number.

It is an amenable number.

100121001221089 is a deficient number, since it is larger than the sum of its proper divisors (1).

100121001221089 is an equidigital number, since it uses as much as digits as its factorization.

100121001221089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 28.

The spelling of 100121001221089 in words is "one hundred trillion, one hundred twenty-one billion, one million, two hundred twenty-one thousand, eighty-nine".