21201100101011 has 8 divisors (see below), whose sum is σ = 21470661785280. Its totient is φ = 20931568250112.

The previous prime is 21201100100993. The next prime is 21201100101127. The reversal of 21201100101011 is 11010100110212.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 21201100101011 - 2¹⁴ = 21201100084627 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21201100100983 and 21201100101001.

It is not an unprimeable number, because it can be changed into a prime (21201100101911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6026270 + ... + 8872323.

It is an arithmetic number, because the mean of its divisors is an integer number (2683832723160).

Almost surely, 2^{21201100101011} is an apocalyptic number.

21201100101011 is a deficient number, since it is larger than the sum of its proper divisors (269561684269).

21201100101011 is a wasteful number, since it uses less digits than its factorization.

21201100101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14916685.

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

Adding to 21201100101011 its reverse (11010100110212), we get a palindrome (32211200211223).

The spelling of 21201100101011 in words is "twenty-one trillion, two hundred one billion, one hundred million, one hundred one thousand, eleven".