10100101100111 has 32 divisors (see below), whose sum is σ = 11318255649792. Its totient is φ = 8933198400000.

The previous prime is 10100101100107. The next prime is 10100101100119. The reversal of 10100101100111 is 11100110100101.

It is a cyclic number.

It is not a de Polignac number, because 10100101100111 - 2² = 10100101100107 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 (10100101100119) 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, 490024196 + ... + 490044806.

It is an arithmetic number, because the mean of its divisors is an integer number (353695489056).

Almost surely, 2^{10100101100111} is an apocalyptic number.

10100101100111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10100101100111 is a deficient number, since it is larger than the sum of its proper divisors (1218154549681).

10100101100111 is a wasteful number, since it uses less digits than its factorization.

10100101100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23615.

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

Adding to 10100101100111 its reverse (11100110100101), we get a palindrome (21200211200212).

The spelling of 10100101100111 in words is "ten trillion, one hundred billion, one hundred one million, one hundred thousand, one hundred eleven".