10000101100101 has 16 divisors (see below), whose sum is σ = 15238403616384. Its totient is φ = 5714285615424.

The previous prime is 10000101100069. The next prime is 10000101100117. The reversal of 10000101100101 is 10100110100001.

It is not a de Polignac number, because 10000101100101 - 2⁵ = 10000101100069 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10000101100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000101100501) 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, 242926 + ... + 4478751.

It is an arithmetic number, because the mean of its divisors is an integer number (952400226024).

Almost surely, 2^{10000101100101} is an apocalyptic number.

It is an amenable number.

10000101100101 is a deficient number, since it is larger than the sum of its proper divisors (5238302516283).

10000101100101 is a wasteful number, since it uses less digits than its factorization.

10000101100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4822540.

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

Adding to 10000101100101 its reverse (10100110100001), we get a palindrome (20100211200102).

The spelling of 10000101100101 in words is "ten trillion, one hundred one million, one hundred thousand, one hundred one".