21201011111101 has 64 divisors (see below), whose sum is σ = 23746241249280. Its totient is φ = 18825912483840.

The previous prime is 21201011111069. The next prime is 21201011111107. The reversal of 21201011111101 is 10111111010212.

It is not a de Polignac number, because 21201011111101 - 2⁵ = 21201011111069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21201011111107) 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, 9920921305 + ... + 9920923441.

It is an arithmetic number, because the mean of its divisors is an integer number (371035019520).

Almost surely, 2^{21201011111101} is an apocalyptic number.

It is an amenable number.

21201011111101 is a deficient number, since it is larger than the sum of its proper divisors (2545230138179).

21201011111101 is a wasteful number, since it uses less digits than its factorization.

21201011111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 21201011111101 its reverse (10111111010212), we get a palindrome (31312122121313).

The spelling of 21201011111101 in words is "twenty-one trillion, two hundred one billion, eleven million, one hundred eleven thousand, one hundred one".