9992101561 has 16 divisors (see below), whose sum is σ = 10853144848. Its totient is φ = 9144576000.

The previous prime is 9992101547. The next prime is 9992101579. The reversal of 9992101561 is 1651012999.

It can be written as a sum of positive squares in 8 ways, for example, as 4483641600 + 5508459961 = 66960^2 + 74219^2 .

It is a 6-Lehmer number, since φ(9992101561) divides (9992101561-1)⁶.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-9992101561 is a prime.

It is the 99961-st Hogben number.

It is not an unprimeable number, because it can be changed into a prime (9992104561) by changing a digit.

It is a nontrivial repunit in base 99960.

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 in 15 ways as a sum of consecutive naturals, for example, 786661 + ... + 799261.

It is an arithmetic number, because the mean of its divisors is an integer number (678321553).

Almost surely, 2^9992101561 is an apocalyptic number.

It is an amenable number.

9992101561 is a deficient number, since it is larger than the sum of its proper divisors (861043287).

9992101561 is a wasteful number, since it uses less digits than its factorization.

9992101561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13132.

The product of its (nonzero) digits is 43740, while the sum is 43.

The square root of 9992101561 is about 99960.5000037515. The cubic root of 9992101561 is about 2153.8673182613.

The spelling of 9992101561 in words is "nine billion, nine hundred ninety-two million, one hundred one thousand, five hundred sixty-one".