101274801 has 16 divisors (see below), whose sum is σ = 138457344. Its totient is φ = 65816064.

The previous prime is 101274779. The next prime is 101274829. The reversal of 101274801 is 108472101.

It is not a de Polignac number, because 101274801 - 2⁹ = 101274289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101274841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37761 + ... + 40353.

It is an arithmetic number, because the mean of its divisors is an integer number (8653584).

Almost surely, 2^101274801 is an apocalyptic number.

It is an amenable number.

101274801 is a deficient number, since it is larger than the sum of its proper divisors (37182543).

101274801 is a wasteful number, since it uses less digits than its factorization.

101274801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920.

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 101274801 is about 10063.5381948895. The cubic root of 101274801 is about 466.1229283287.

The spelling of 101274801 in words is "one hundred one million, two hundred seventy-four thousand, eight hundred one".