10100381665729 has 8 divisors (see below), whose sum is σ = 10127851976000. Its totient is φ = 10072931640912.

The previous prime is 10100381665721. The next prime is 10100381665807. The reversal of 10100381665729 is 92756618300101.

10100381665729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10100381665729 - 2³ = 10100381665721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100381665721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4073919 + ... + 6066100.

It is an arithmetic number, because the mean of its divisors is an integer number (1265981497000).

Almost surely, 2^{10100381665729} is an apocalyptic number.

It is an amenable number.

10100381665729 is a deficient number, since it is larger than the sum of its proper divisors (27470310271).

10100381665729 is a wasteful number, since it uses less digits than its factorization.

10100381665729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10142727.

The product of its (nonzero) digits is 544320, while the sum is 49.

The spelling of 10100381665729 in words is "ten trillion, one hundred billion, three hundred eighty-one million, six hundred sixty-five thousand, seven hundred twenty-nine".