10111101001101 has 20 divisors (see below), whose sum is σ = 15360241327200. Its totient is φ = 6626484268776.

The previous prime is 10111101000991. The next prime is 10111101001117. The reversal of 10111101001101 is 10110010111101.

It is not a de Polignac number, because 10111101001101 - 2¹⁵ = 10111100968333 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111101001501) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1057863081 + ... + 1057872638.

It is an arithmetic number, because the mean of its divisors is an integer number (768012066360).

Almost surely, 2^{10111101001101} is an apocalyptic number.

It is an amenable number.

10111101001101 is a deficient number, since it is larger than the sum of its proper divisors (5249140326099).

10111101001101 is an equidigital number, since it uses as much as digits as its factorization.

10111101001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115735790 (or 2115735781 counting only the distinct ones).

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

Adding to 10111101001101 its reverse (10110010111101), we get a palindrome (20221111112202).

It can be divided in two parts, 1011 and 1101001101, that multiplied together give a palindrome (1113112113111).

The spelling of 10111101001101 in words is "ten trillion, one hundred eleven billion, one hundred one million, one thousand, one hundred one".