101100100111111 has 32 divisors (see below), whose sum is σ = 107599186759680. Its totient is φ = 94822841030400.

The previous prime is 101100100111079. The next prime is 101100100111139. The reversal of 101100100111111 is 111111001001101.

It is a happy number.

It is not a de Polignac number, because 101100100111111 - 2⁵ = 101100100111079 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 (101100100118111) 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, 524153890 + ... + 524346736.

It is an arithmetic number, because the mean of its divisors is an integer number (3362474586240).

Almost surely, 2^{101100100111111} is an apocalyptic number.

101100100111111 is a deficient number, since it is larger than the sum of its proper divisors (6499086648569).

101100100111111 is a wasteful number, since it uses less digits than its factorization.

101100100111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194815.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 101100100111111 its reverse (111111001001101), we get a palindrome (212211101112212).

The spelling of 101100100111111 in words is "one hundred one trillion, one hundred billion, one hundred million, one hundred eleven thousand, one hundred eleven".