21110011010001 has 24 divisors (see below), whose sum is σ = 30574257448800. Its totient is φ = 14035529866176.

The previous prime is 21110011009933. The next prime is 21110011010041. The reversal of 21110011010001 is 10001011001112.

It is not a de Polignac number, because 21110011010001 - 2⁷ = 21110011009873 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 (21110011010041) 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 23 ways as a sum of consecutive naturals, for example, 3881925 + ... + 7568973.

It is an arithmetic number, because the mean of its divisors is an integer number (1273927393700).

Almost surely, 2^{21110011010001} is an apocalyptic number.

It is an amenable number.

21110011010001 is a deficient number, since it is larger than the sum of its proper divisors (9464246438799).

21110011010001 is a wasteful number, since it uses less digits than its factorization.

21110011010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3688765 (or 3688762 counting only the distinct ones).

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

Adding to 21110011010001 its reverse (10001011001112), we get a palindrome (31111022011113).

The spelling of 21110011010001 in words is "twenty-one trillion, one hundred ten billion, eleven million, ten thousand, one".