10056100101 has 16 divisors (see below), whose sum is σ = 13499489664. Its totient is φ = 6658426944.

The previous prime is 10056100081. The next prime is 10056100111. The reversal of 10056100101 is 10100165001.

10056100101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10056100101 - 2¹¹ = 10056098053 is a prime.

It is a super-2 number, since 2×10056100101² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10056100111) 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 15 ways as a sum of consecutive naturals, for example, 1785576 + ... + 1791198.

It is an arithmetic number, because the mean of its divisors is an integer number (843718104).

Almost surely, 2^10056100101 is an apocalyptic number.

It is an amenable number.

10056100101 is a deficient number, since it is larger than the sum of its proper divisors (3443389563).

10056100101 is a wasteful number, since it uses less digits than its factorization.

10056100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9580.

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 10056100101 its reverse (10100165001), we get a palindrome (20156265102).

The spelling of 10056100101 in words is "ten billion, fifty-six million, one hundred thousand, one hundred one".