10000100101101 has 24 divisors (see below), whose sum is σ = 15161166313440. Its totient is φ = 5851678213920.

The previous prime is 10000100101051. The next prime is 10000100101141. The reversal of 10000100101101 is 10110100100001.

It is not a de Polignac number, because 10000100101101 - 2³⁴ = 9982920231917 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10000100101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000100101141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 474963355 + ... + 474984408.

It is an arithmetic number, because the mean of its divisors is an integer number (631715263060).

Almost surely, 2^{10000100101101} is an apocalyptic number.

10000100101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10000100101101 is a deficient number, since it is larger than the sum of its proper divisors (5161066212339).

10000100101101 is a wasteful number, since it uses less digits than its factorization.

10000100101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949947817 (or 949947806 counting only the distinct ones).

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

Adding to 10000100101101 its reverse (10110100100001), we get a palindrome (20110200201102).

The spelling of 10000100101101 in words is "ten trillion, one hundred million, one hundred one thousand, one hundred one".