101267561201 has 4 divisors (see below), whose sum is σ = 104759546100. Its totient is φ = 97775576304.

The previous prime is 101267561149. The next prime is 101267561207. The reversal of 101267561201 is 102165762101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 44730135025 + 56537426176 = 211495^2 + 237776^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101267561201 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101267561207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1745992406 + ... + 1745992463.

It is an arithmetic number, because the mean of its divisors is an integer number (26189886525).

Almost surely, 2^101267561201 is an apocalyptic number.

It is an amenable number.

101267561201 is a deficient number, since it is larger than the sum of its proper divisors (3491984899).

101267561201 is an equidigital number, since it uses as much as digits as its factorization.

101267561201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3491984898.

The product of its (nonzero) digits is 5040, while the sum is 32.

Subtracting 101267561201 from its reverse (102165762101), we obtain a square (898200900 = 29970²).

The spelling of 101267561201 in words is "one hundred one billion, two hundred sixty-seven million, five hundred sixty-one thousand, two hundred one".