10000101093728 has 48 divisors (see below), whose sum is σ = 19896837271920. Its totient is φ = 4947091623936.

The previous prime is 10000101093727. The next prime is 10000101093737. The reversal of 10000101093728 is 82739010100001.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 10000101093694 and 10000101093703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000101093727) 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 7 ways as a sum of consecutive naturals, for example, 372650 + ... + 4487657.

It is an arithmetic number, because the mean of its divisors is an integer number (414517443165).

Almost surely, 2^{10000101093728} is an apocalyptic number.

It is an amenable number.

10000101093728 is a deficient number, since it is larger than the sum of its proper divisors (9896736178192).

10000101093728 is a wasteful number, since it uses less digits than its factorization.

10000101093728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4860999 (or 4860991 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 32.

Adding to 10000101093728 its reverse (82739010100001), we get a palindrome (92739111193729).

The spelling of 10000101093728 in words is "ten trillion, one hundred one million, ninety-three thousand, seven hundred twenty-eight".