100121121120991 has 2 divisors, whose sum is σ = 100121121120992. Its totient is φ = 100121121120990.

The previous prime is 100121121120971. The next prime is 100121121121123. The reversal of 100121121120991 is 199021121121001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100121121120991 - 2⁷ = 100121121120863 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100121121120941) 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, 50060560560495 + 50060560560496.

It is an arithmetic number, because the mean of its divisors is an integer number (50060560560496).

Almost surely, 2^{100121121120991} is an apocalyptic number.

100121121120991 is a deficient number, since it is larger than the sum of its proper divisors (1).

100121121120991 is an equidigital number, since it uses as much as digits as its factorization.

100121121120991 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 31.

Adding to 100121121120991 its reverse (199021121121001), we get a palindrome (299142242241992).

The spelling of 100121121120991 in words is "one hundred trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred twenty thousand, nine hundred ninety-one".