21110100111001 has 48 divisors (see below), whose sum is σ = 24681994444800. Its totient is φ = 17989980893280.

The previous prime is 21110100110941. The next prime is 21110100111017. The reversal of 21110100111001 is 10011100101112.

It is not a de Polignac number, because 21110100111001 - 2⁷ = 21110100110873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21110100111091) 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 47 ways as a sum of consecutive naturals, for example, 212242240 + ... + 212341678.

It is an arithmetic number, because the mean of its divisors is an integer number (514208217600).

Almost surely, 2^{21110100111001} is an apocalyptic number.

It is an amenable number.

21110100111001 is a deficient number, since it is larger than the sum of its proper divisors (3571894333799).

21110100111001 is a wasteful number, since it uses less digits than its factorization.

21110100111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100450 (or 100439 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 21110100111001 its reverse (10011100101112), we get a palindrome (31121200212113).

The spelling of 21110100111001 in words is "twenty-one trillion, one hundred ten billion, one hundred million, one hundred eleven thousand, one".