10100100111101 has 32 divisors (see below), whose sum is σ = 13567340107776. Its totient is φ = 7261396632000.

The previous prime is 10100100111029. The next prime is 10100100111103. The reversal of 10100100111101 is 10111100100101.

It is not a de Polignac number, because 10100100111101 - 2¹⁴ = 10100100094717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100100111103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234305 + ... + 4500566.

It is an arithmetic number, because the mean of its divisors is an integer number (423979378368).

Almost surely, 2^{10100100111101} is an apocalyptic number.

10100100111101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100100111101 is a deficient number, since it is larger than the sum of its proper divisors (3467239996675).

10100100111101 is a wasteful number, since it uses less digits than its factorization.

10100100111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4737033.

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

Adding to 10100100111101 its reverse (10111100100101), we get a palindrome (20211200211202).

It can be divided in two parts, 10100100 and 111101, that added together give a palindrome (10211201).

The spelling of 10100100111101 in words is "ten trillion, one hundred billion, one hundred million, one hundred eleven thousand, one hundred one".