10101865601 has 16 divisors (see below), whose sum is σ = 10440179904. Its totient is φ = 9768717504.

The previous prime is 10101865591. The next prime is 10101865607. The reversal of 10101865601 is 10656810101.

It is a cyclic number.

It is not a de Polignac number, because 10101865601 - 2¹⁴ = 10101849217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10101865607) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1975490 + ... + 1980596.

It is an arithmetic number, because the mean of its divisors is an integer number (652511244).

Almost surely, 2^10101865601 is an apocalyptic number.

It is an amenable number.

10101865601 is a deficient number, since it is larger than the sum of its proper divisors (338314303).

10101865601 is a wasteful number, since it uses less digits than its factorization.

10101865601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5600.

The product of its (nonzero) digits is 1440, while the sum is 29.

The spelling of 10101865601 in words is "ten billion, one hundred one million, eight hundred sixty-five thousand, six hundred one".