21001101021011 has 8 divisors (see below), whose sum is σ = 22107532675920. Its totient is φ = 19894780420992.

The previous prime is 21001101020987. The next prime is 21001101021023. The reversal of 21001101021011 is 11012010110012.

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

It is not a de Polignac number, because 21001101021011 - 2³⁸ = 20726223114067 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21001101020983 and 21001101021001.

It is not an unprimeable number, because it can be changed into a prime (21001101921011) 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 7 ways as a sum of consecutive naturals, for example, 27375410 + ... + 28132103.

It is an arithmetic number, because the mean of its divisors is an integer number (2763441584490).

Almost surely, 2^{21001101021011} is an apocalyptic number.

21001101021011 is a deficient number, since it is larger than the sum of its proper divisors (1106431654909).

21001101021011 is a wasteful number, since it uses less digits than its factorization.

21001101021011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55527445.

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

Adding to 21001101021011 its reverse (11012010110012), we get a palindrome (32013111131023).

The spelling of 21001101021011 in words is "twenty-one trillion, one billion, one hundred one million, twenty-one thousand, eleven".