100815133527161 has 2 divisors, whose sum is σ = 100815133527162. Its totient is φ = 100815133527160.

The previous prime is 100815133527149. The next prime is 100815133527211. The reversal of 100815133527161 is 161725331518001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97033217095936 + 3781916431225 = 9850544^2 + 1944715^2 .

It is a cyclic number.

It is not a de Polignac number, because 100815133527161 - 2¹⁸ = 100815133265017 is a prime.

It is a super-2 number, since 2×100815133527161² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100815133529161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50407566763580 + 50407566763581.

It is an arithmetic number, because the mean of its divisors is an integer number (50407566763581).

Almost surely, 2^{100815133527161} is an apocalyptic number.

It is an amenable number.

100815133527161 is a deficient number, since it is larger than the sum of its proper divisors (1).

100815133527161 is an equidigital number, since it uses as much as digits as its factorization.

100815133527161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 151200, while the sum is 44.

The spelling of 100815133527161 in words is "one hundred trillion, eight hundred fifteen billion, one hundred thirty-three million, five hundred twenty-seven thousand, one hundred sixty-one".