10161457121 has 2 divisors, whose sum is σ = 10161457122. Its totient is φ = 10161457120.

The previous prime is 10161457091. The next prime is 10161457153. The reversal of 10161457121 is 12175416101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9577558225 + 583898896 = 97865^2 + 24164^2 .

It is an emirp because it is prime and its reverse (12175416101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10161457121 - 2⁶ = 10161457057 is a prime.

It is not a weakly prime, because it can be changed into another prime (10161457321) 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, 5080728560 + 5080728561.

It is an arithmetic number, because the mean of its divisors is an integer number (5080728561).

Almost surely, 2^10161457121 is an apocalyptic number.

It is an amenable number.

10161457121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10161457121 is an equidigital number, since it uses as much as digits as its factorization.

10161457121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 29.

The spelling of 10161457121 in words is "ten billion, one hundred sixty-one million, four hundred fifty-seven thousand, one hundred twenty-one".