10111001001101 has 32 divisors (see below), whose sum is σ = 13778230867968. Its totient is φ = 7164101039040.

The previous prime is 10111001001061. The next prime is 10111001001121. The reversal of 10111001001101 is 10110010011101.

It is not a de Polignac number, because 10111001001101 - 2¹⁰ = 10111001000077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111001001121) 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, 75312785 + ... + 75446918.

It is an arithmetic number, because the mean of its divisors is an integer number (430569714624).

Almost surely, 2^{10111001001101} is an apocalyptic number.

10111001001101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10111001001101 is a deficient number, since it is larger than the sum of its proper divisors (3667229866867).

10111001001101 is a wasteful number, since it uses less digits than its factorization.

10111001001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150759801.

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

Adding to 10111001001101 its reverse (10110010011101), we get a palindrome (20221011012202).

The spelling of 10111001001101 in words is "ten trillion, one hundred eleven billion, one million, one thousand, one hundred one".