20101001111001 has 24 divisors (see below), whose sum is σ = 29203828967040. Its totient is φ = 13322827467936.

The previous prime is 20101001110919. The next prime is 20101001111027. The reversal of 20101001111001 is 10011110010102.

It is not a de Polignac number, because 20101001111001 - 2¹⁷ = 20101000979929 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 (20101001111201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6303751 + ... + 8940876.

It is an arithmetic number, because the mean of its divisors is an integer number (1216826206960).

Almost surely, 2^{20101001111001} is an apocalyptic number.

It is an amenable number.

20101001111001 is a deficient number, since it is larger than the sum of its proper divisors (9102827856039).

20101001111001 is a wasteful number, since it uses less digits than its factorization.

20101001111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15245485 (or 15245482 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 20101001111001 its reverse (10011110010102), we get a palindrome (30112111121103).

The spelling of 20101001111001 in words is "twenty trillion, one hundred one billion, one million, one hundred eleven thousand, one".