1101100100111 has 16 divisors (see below), whose sum is σ = 1227093701760. Its totient is φ = 979521772320.

The previous prime is 1101100100083. The next prime is 1101100100143. The reversal of 1101100100111 is 1110010011011.

It is a cyclic number.

It is not a de Polignac number, because 1101100100111 - 2⁶ = 1101100100047 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 (1101100100171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2270705 + ... + 2712618.

It is an arithmetic number, because the mean of its divisors is an integer number (76693356360).

Almost surely, 2^{1101100100111} is an apocalyptic number.

1101100100111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1101100100111 is a deficient number, since it is larger than the sum of its proper divisors (125993601649).

1101100100111 is a wasteful number, since it uses less digits than its factorization.

1101100100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4983766.

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

Adding to 1101100100111 its reverse (1110010011011), we get a palindrome (2211110111122).

The spelling of 1101100100111 in words is "one trillion, one hundred one billion, one hundred million, one hundred thousand, one hundred eleven".