10100101101101 has 32 divisors (see below), whose sum is σ = 11721551299200. Its totient is φ = 8606265120000.

The previous prime is 10100101101067. The next prime is 10100101101137. The reversal of 10100101101101 is 10110110100101.

It is a cyclic number.

It is not a de Polignac number, because 10100101101101 - 2¹⁰ = 10100101100077 is a prime.

It is a Duffinian number.

10100101101101 is a modest number, since divided by 101101101 gives 10100 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100106101101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28978295 + ... + 29324763.

It is an arithmetic number, because the mean of its divisors is an integer number (366298478100).

Almost surely, 2^{10100101101101} is an apocalyptic number.

10100101101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100101101101 is a deficient number, since it is larger than the sum of its proper divisors (1621450198099).

10100101101101 is a wasteful number, since it uses less digits than its factorization.

10100101101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347981.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 10100101101101 its reverse (10110110100101), we get a palindrome (20210211201202).

It can be divided in two parts, 10100101 and 101101, that multiplied together give a palindrome (1021130311201).

The spelling of 10100101101101 in words is "ten trillion, one hundred billion, one hundred one million, one hundred one thousand, one hundred one".