101011101001001 has 32 divisors (see below), whose sum is σ = 106023489062400. Its totient is φ = 96169813920000.

The previous prime is 101011101000973. The next prime is 101011101001009. The reversal of 101011101001001 is 100100101110101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101011101001001 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101011101001001.

It is not an unprimeable number, because it can be changed into a prime (101011101001009) 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, 65025680 + ... + 66560958.

It is an arithmetic number, because the mean of its divisors is an integer number (3313234033200).

Almost surely, 2^{101011101001001} is an apocalyptic number.

It is an amenable number.

101011101001001 is a deficient number, since it is larger than the sum of its proper divisors (5012388061399).

101011101001001 is a wasteful number, since it uses less digits than its factorization.

101011101001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535681.

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

Adding to 101011101001001 its reverse (100100101110101), we get a palindrome (201111202111102).

The spelling of 101011101001001 in words is "one hundred one trillion, eleven billion, one hundred one million, one thousand, one".