10221112211011 has 16 divisors (see below), whose sum is σ = 11321695909216. Its totient is φ = 9167708583936.

The previous prime is 10221112210987. The next prime is 10221112211053. The reversal of 10221112211011 is 11011221112201.

It is a cyclic number.

It is not a de Polignac number, because 10221112211011 - 2⁵ = 10221112210979 is a prime.

It is a super-2 number, since 2×10221112211011² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10221112211071) 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, 47261640 + ... + 47477413.

It is an arithmetic number, because the mean of its divisors is an integer number (707605994326).

Almost surely, 2^{10221112211011} is an apocalyptic number.

10221112211011 is a deficient number, since it is larger than the sum of its proper divisors (1100583698205).

10221112211011 is a wasteful number, since it uses less digits than its factorization.

10221112211011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94739302.

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

Adding to 10221112211011 its reverse (11011221112201), we get a palindrome (21232333323212).

The spelling of 10221112211011 in words is "ten trillion, two hundred twenty-one billion, one hundred twelve million, two hundred eleven thousand, eleven".