101012545001 has 2 divisors, whose sum is σ = 101012545002. Its totient is φ = 101012545000.

The previous prime is 101012544991. The next prime is 101012545037. The reversal of 101012545001 is 100545210101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58813525225 + 42199019776 = 242515^2 + 205424^2 .

It is a cyclic number.

It is not a de Polignac number, because 101012545001 - 2¹⁸ = 101012282857 is a prime.

It is not a weakly prime, because it can be changed into another prime (101012545901) 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, 50506272500 + 50506272501.

It is an arithmetic number, because the mean of its divisors is an integer number (50506272501).

Almost surely, 2^101012545001 is an apocalyptic number.

It is an amenable number.

101012545001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012545001 is an equidigital number, since it uses as much as digits as its factorization.

101012545001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 200, while the sum is 20.

Adding to 101012545001 its reverse (100545210101), we get a palindrome (201557755102).

The spelling of 101012545001 in words is "one hundred one billion, twelve million, five hundred forty-five thousand, one".