100191311412721 has 27 divisors (see below), whose sum is σ = 106089046825419. Its totient is φ = 94607647971408.

The previous prime is 100191311412697. The next prime is 100191311412737. The reversal of 100191311412721 is 127214113191001.

The square root of 100191311412721 is 10009561.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 67145323350625 + 33045988062096 = 8194225^2 + 5748564^2 .

It is not a de Polignac number, because 100191311412721 - 2¹⁵ = 100191311379953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100191311412761) 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 in 26 ways as a sum of consecutive naturals, for example, 75502117960 + ... + 75502119286.

It is an arithmetic number, because the mean of its divisors is an integer number (3929223956497).

Almost surely, 2^{100191311412721} is an apocalyptic number.

100191311412721 is the 10009561-st square number.

100191311412721 is the 5004781-st centered octagonal number.

It is an amenable number.

100191311412721 is a deficient number, since it is larger than the sum of its proper divisors (5897735412698).

100191311412721 is an frugal number, since it uses more digits than its factorization.

100191311412721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3486 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 34.

The spelling of 100191311412721 in words is "one hundred trillion, one hundred ninety-one billion, three hundred eleven million, four hundred twelve thousand, seven hundred twenty-one".