101111100011001 has 160 divisors (see below), whose sum is σ = 168027214924800. Its totient is φ = 60267384612864.

The previous prime is 101111100010937. The next prime is 101111100011003. The reversal of 101111100011001 is 100110001111101.

It is not a de Polignac number, because 101111100011001 - 2⁶ = 101111100010937 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 (101111100011003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13758480475 + ... + 13758487823.

It is an arithmetic number, because the mean of its divisors is an integer number (1050170093280).

Almost surely, 2^{101111100011001} is an apocalyptic number.

It is an amenable number.

101111100011001 is a deficient number, since it is larger than the sum of its proper divisors (66916114913799).

101111100011001 is a wasteful number, since it uses less digits than its factorization.

101111100011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10325 (or 10316 counting only the distinct ones).

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

Adding to 101111100011001 its reverse (100110001111101), we get a palindrome (201221101122102).

The spelling of 101111100011001 in words is "one hundred one trillion, one hundred eleven billion, one hundred million, eleven thousand, one".