2011100221021 has 8 divisors (see below), whose sum is σ = 2014259113944. Its totient is φ = 2007942922560.

The previous prime is 2011100221001. The next prime is 2011100221061. The reversal of 2011100221021 is 1201220011102.

It can be written as a sum of positive squares in 4 ways, for example, as 24088592025 + 1987011628996 = 155205^2 + 1409614^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 2011100221021 - 2¹⁷ = 2011100089949 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2011100220992 and 2011100221010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011100221001) 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, 2138631 + ... + 2931883.

It is an arithmetic number, because the mean of its divisors is an integer number (251782389243).

Almost surely, 2^{2011100221021} is an apocalyptic number.

It is an amenable number.

2011100221021 is a deficient number, since it is larger than the sum of its proper divisors (3158892923).

2011100221021 is an equidigital number, since it uses as much as digits as its factorization.

2011100221021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797231.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2011100221021 its reverse (1201220011102), we get a palindrome (3212320232123).

The spelling of 2011100221021 in words is "two trillion, eleven billion, one hundred million, two hundred twenty-one thousand, twenty-one".