221021101001011 has 16 divisors (see below), whose sum is σ = 236029486835200. Its totient is φ = 206359975811808.

The previous prime is 221021101000969. The next prime is 221021101001053. The reversal of 221021101001011 is 110100101120122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (221021101000969) and next prime (221021101001053).

It is a cyclic number.

It is not a de Polignac number, because 221021101001011 - 2¹⁷ = 221021100869939 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221021101000982 and 221021101001000.

It is not an unprimeable number, because it can be changed into a prime (221021101007011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133776060 + ... + 135418153.

It is an arithmetic number, because the mean of its divisors is an integer number (14751842927200).

Almost surely, 2^{221021101001011} is an apocalyptic number.

221021101001011 is a deficient number, since it is larger than the sum of its proper divisors (15008385834189).

221021101001011 is a wasteful number, since it uses less digits than its factorization.

221021101001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269194858.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 221021101001011 its reverse (110100101120122), we get a palindrome (331121202121133).

The spelling of 221021101001011 in words is "two hundred twenty-one trillion, twenty-one billion, one hundred one million, one thousand, eleven".