101111001011001 has 12 divisors (see below), whose sum is σ = 146604543928128. Its totient is φ = 67151032355544.

The previous prime is 101111001010949. The next prime is 101111001011023. The reversal of 101111001011001 is 100110100111101.

It is a de Polignac number, because none of the positive numbers 2^k-101111001011001 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 (101111001012001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21358468485 + ... + 21358473218.

It is an arithmetic number, because the mean of its divisors is an integer number (12217045327344).

Almost surely, 2^{101111001011001} is an apocalyptic number.

It is an amenable number.

101111001011001 is a deficient number, since it is larger than the sum of its proper divisors (45493542917127).

101111001011001 is a wasteful number, since it uses less digits than its factorization.

101111001011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42716941972 (or 42716941969 counting only the distinct ones).

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

Adding to 101111001011001 its reverse (100110100111101), we get a palindrome (201221101122102).

The spelling of 101111001011001 in words is "one hundred one trillion, one hundred eleven billion, one million, eleven thousand, one".