10000000100101 has 16 divisors (see below), whose sum is σ = 10920118440960. Its totient is φ = 9081722315520.

The previous prime is 10000000100087. The next prime is 10000000100107. The reversal of 10000000100101 is 10100100000001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10000000100101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000000100107) 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, 79712041 + ... + 79837393.

It is an arithmetic number, because the mean of its divisors is an integer number (682507402560).

Almost surely, 2^{10000000100101} is an apocalyptic number.

10000000100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10000000100101 is a deficient number, since it is larger than the sum of its proper divisors (920118340859).

10000000100101 is a wasteful number, since it uses less digits than its factorization.

10000000100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132636.

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 10000000100101 its reverse (10100100000001), we get a palindrome (20100100100102).

It can be divided in two parts, 10000000 and 100101, that added together give a palindrome (10100101).

The spelling of 10000000100101 in words is "ten trillion, one hundred thousand, one hundred one".