221010010112011 has 16 divisors (see below), whose sum is σ = 235777405043200. Its totient is φ = 206560429272288.

The previous prime is 221010010111949. The next prime is 221010010112039. The reversal of 221010010112011 is 110211010010122.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 221010010112011 - 2⁷ = 221010010111883 is a prime.

It is a super-3 number, since 3×221010010112011³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221010010111982 and 221010010112000.

It is not an unprimeable number, because it can be changed into a prime (221010010112041) 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 15 ways as a sum of consecutive naturals, for example, 57658965 + ... + 61372438.

It is an arithmetic number, because the mean of its divisors is an integer number (14736087815200).

Almost surely, 2^{221010010112011} is an apocalyptic number.

221010010112011 is a deficient number, since it is larger than the sum of its proper divisors (14767394931189).

221010010112011 is a wasteful number, since it uses less digits than its factorization.

221010010112011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119032738.

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

Adding to 221010010112011 its reverse (110211010010122), we get a palindrome (331221020122133).

The spelling of 221010010112011 in words is "two hundred twenty-one trillion, ten billion, ten million, one hundred twelve thousand, eleven".