100721116553 has 2 divisors, whose sum is σ = 100721116554. Its totient is φ = 100721116552.

The previous prime is 100721116547. The next prime is 100721116567. The reversal of 100721116553 is 355611127001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93236790409 + 7484326144 = 305347^2 + 86512^2 .

It is a cyclic number.

It is not a de Polignac number, because 100721116553 - 2³⁴ = 83541247369 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (100721113553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50360558276 + 50360558277.

It is an arithmetic number, because the mean of its divisors is an integer number (50360558277).

Almost surely, 2^100721116553 is an apocalyptic number.

It is an amenable number.

100721116553 is a deficient number, since it is larger than the sum of its proper divisors (1).

100721116553 is an equidigital number, since it uses as much as digits as its factorization.

100721116553 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6300, while the sum is 32.

The spelling of 100721116553 in words is "one hundred billion, seven hundred twenty-one million, one hundred sixteen thousand, five hundred fifty-three".