101111111001001 has 32 divisors (see below), whose sum is σ = 104658576777216. Its totient is φ = 97620479424000.

The previous prime is 101111111000989. The next prime is 101111111001023. The reversal of 101111111001001 is 100100111111101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101111111001001 - 2³⁵ = 101076751262633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101111111001031) 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, 5915343411 + ... + 5915360503.

It is an arithmetic number, because the mean of its divisors is an integer number (3270580524288).

Almost surely, 2^{101111111001001} is an apocalyptic number.

It is an amenable number.

101111111001001 is a deficient number, since it is larger than the sum of its proper divisors (3547465776215).

101111111001001 is a wasteful number, since it uses less digits than its factorization.

101111111001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20953.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 101111111001001 its reverse (100100111111101), we get a palindrome (201211222112102).

The spelling of 101111111001001 in words is "one hundred one trillion, one hundred eleven billion, one hundred eleven million, one thousand, one".