1111000101101 has 24 divisors (see below), whose sum is σ = 1239623990400. Its totient is φ = 987333984000.

The previous prime is 1111000101053. The next prime is 1111000101103. The reversal of 1111000101101 is 1011010001111.

It is not a de Polignac number, because 1111000101101 - 2³⁸ = 836122194157 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 (1111000101103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8802005 + ... + 8927333.

It is an arithmetic number, because the mean of its divisors is an integer number (51650999600).

Almost surely, 2^{1111000101101} is an apocalyptic number.

1111000101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1111000101101 is a deficient number, since it is larger than the sum of its proper divisors (128623889299).

1111000101101 is a wasteful number, since it uses less digits than its factorization.

1111000101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125621 (or 125520 counting only the distinct ones).

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

Adding to 1111000101101 its reverse (1011010001111), we get a palindrome (2122010102212).

It can be divided in two parts, 111100010 and 1101, that added together give a palindrome (111101111).

The spelling of 1111000101101 in words is "one trillion, one hundred eleven billion, one hundred one thousand, one hundred one".