10111101001001 has 64 divisors (see below), whose sum is σ = 14431747276800. Its totient is φ = 6821726688000.

The previous prime is 10111101000991. The next prime is 10111101001117. The reversal of 10111101001001 is 10010010111101.

It is not a de Polignac number, because 10111101001001 - 2³⁸ = 9836223094057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10111101001001.

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 63 ways as a sum of consecutive naturals, for example, 710921 + ... + 4552758.

It is an arithmetic number, because the mean of its divisors is an integer number (225496051200).

Almost surely, 2^{10111101001001} is an apocalyptic number.

10111101001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10111101001001 is a deficient number, since it is larger than the sum of its proper divisors (4320646275799).

10111101001001 is a wasteful number, since it uses less digits than its factorization.

10111101001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5263830.

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

Adding to 10111101001001 its reverse (10010010111101), we get a palindrome (20121111112102).

It can be divided in two parts, 1011110100 and 1001, that added together give a palindrome (1011111101).

The spelling of 10111101001001 in words is "ten trillion, one hundred eleven billion, one hundred one million, one thousand, one".