10101101111001 has 16 divisors (see below), whose sum is σ = 15752204462400. Its totient is φ = 6379642806624.

The previous prime is 10101101110999. The next prime is 10101101111029. The reversal of 10101101111001 is 10011110110101.

It is not a de Polignac number, because 10101101111001 - 2¹ = 10101101110999 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 (10101101111051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9845127276 + ... + 9845128301.

It is an arithmetic number, because the mean of its divisors is an integer number (984512778900).

Almost surely, 2^{10101101111001} is an apocalyptic number.

It is an amenable number.

10101101111001 is a deficient number, since it is larger than the sum of its proper divisors (5651103351399).

10101101111001 is a wasteful number, since it uses less digits than its factorization.

10101101111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19690255605 (or 19690255599 counting only the distinct ones).

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

Adding to 10101101111001 its reverse (10011110110101), we get a palindrome (20112211221102).

The spelling of 10101101111001 in words is "ten trillion, one hundred one billion, one hundred one million, one hundred eleven thousand, one".