10111101101001 has 32 divisors (see below), whose sum is σ = 15031064505600. Its totient is φ = 6717524987520.

The previous prime is 10111101100987. The next prime is 10111101101009. The reversal of 10111101101001 is 10010110111101.

It is not a de Polignac number, because 10111101101001 - 2²³ = 10111092712393 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (10111101101009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9660331 + ... + 10655711.

It is an arithmetic number, because the mean of its divisors is an integer number (469720765800).

Almost surely, 2^{10111101101001} is an apocalyptic number.

It is an amenable number.

10111101101001 is a deficient number, since it is larger than the sum of its proper divisors (4919963404599).

10111101101001 is an equidigital number, since it uses as much as digits as its factorization.

10111101101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996686 (or 996680 counting only the distinct ones).

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

Adding to 10111101101001 its reverse (10010110111101), we get a palindrome (20121211212102).

The spelling of 10111101101001 in words is "ten trillion, one hundred eleven billion, one hundred one million, one hundred one thousand, one".