101101100100111 has 48 divisors (see below), whose sum is σ = 156331960931328. Its totient is φ = 65225239632000.

The previous prime is 101101100100109. The next prime is 101101100100137. The reversal of 101101100100111 is 111001001101101.

It is not a de Polignac number, because 101101100100111 - 2¹ = 101101100100109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101101100100093 and 101101100100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101100100811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 523198311 + ... + 523391511.

It is an arithmetic number, because the mean of its divisors is an integer number (3256915852736).

Almost surely, 2^{101101100100111} is an apocalyptic number.

101101100100111 is a deficient number, since it is larger than the sum of its proper divisors (55230860831217).

101101100100111 is an equidigital number, since it uses as much as digits as its factorization.

101101100100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262714 (or 262702 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101101100100111 its reverse (111001001101101), we get a palindrome (212102101201212).

The spelling of 101101100100111 in words is "one hundred one trillion, one hundred one billion, one hundred million, one hundred thousand, one hundred eleven".