10000110100101 has 32 divisors (see below), whose sum is σ = 14634397080576. Its totient is φ = 6023688480000.

The previous prime is 10000110100091. The next prime is 10000110100139. The reversal of 10000110100101 is 10100101100001.

It is not a de Polignac number, because 10000110100101 - 2¹⁵ = 10000110067333 is a prime.

10000110100101 is a modest number, since divided by 10100101 gives 100001 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 10000110100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000110100181) 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 31 ways as a sum of consecutive naturals, for example, 50000701 + ... + 50200301.

It is an arithmetic number, because the mean of its divisors is an integer number (457324908768).

Almost surely, 2^{10000110100101} is an apocalyptic number.

10000110100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10000110100101 is a deficient number, since it is larger than the sum of its proper divisors (4634286980475).

10000110100101 is a wasteful number, since it uses less digits than its factorization.

10000110100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208873.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10000110100101 its reverse (10100101100001), we get a palindrome (20100211200102).

It can be divided in two parts, 100001 and 10100101, that multiplied together give a palindrome (1010020200101).

The spelling of 10000110100101 in words is "ten trillion, one hundred ten million, one hundred thousand, one hundred one".