101545663336121 has 2 divisors, whose sum is σ = 101545663336122. Its totient is φ = 101545663336120.

The previous prime is 101545663336009. The next prime is 101545663336129. The reversal of 101545663336121 is 121633366545101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56229541860496 + 45316121475625 = 7498636^2 + 6731725^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101545663336121 is a prime.

It is not a weakly prime, because it can be changed into another prime (101545663336129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50772831668060 + 50772831668061.

It is an arithmetic number, because the mean of its divisors is an integer number (50772831668061).

Almost surely, 2^{101545663336121} is an apocalyptic number.

It is an amenable number.

101545663336121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101545663336121 is an equidigital number, since it uses as much as digits as its factorization.

101545663336121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1166400, while the sum is 47.

The spelling of 101545663336121 in words is "one hundred one trillion, five hundred forty-five billion, six hundred sixty-three million, three hundred thirty-six thousand, one hundred twenty-one".