21110011102001 has 64 divisors (see below), whose sum is σ = 22807249920000. Its totient is φ = 19510437703680.

The previous prime is 21110011101947. The next prime is 21110011102027. The reversal of 21110011102001 is 10020111001112.

It is a cyclic number.

It is not a de Polignac number, because 21110011102001 - 2⁶ = 21110011101937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21110011107001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2194611170 + ... + 2194620788.

It is an arithmetic number, because the mean of its divisors is an integer number (356363280000).

Almost surely, 2^{21110011102001} is an apocalyptic number.

It is an amenable number.

21110011102001 is a deficient number, since it is larger than the sum of its proper divisors (1697238817999).

21110011102001 is a wasteful number, since it uses less digits than its factorization.

21110011102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10062.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 21110011102001 its reverse (10020111001112), we get a palindrome (31130122103113).

The spelling of 21110011102001 in words is "twenty-one trillion, one hundred ten billion, eleven million, one hundred two thousand, one".