21122211102112 has 24 divisors (see below), whose sum is σ = 41795441206596. Its totient is φ = 10507495875072.

The previous prime is 21122211102103. The next prime is 21122211102121. The reversal of 21122211102112 is 21120111222112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21122211102103) and next prime (21122211102121).

It can be written as a sum of positive squares in 2 ways, for example, as 19924403432976 + 1197807669136 = 4463676^2 + 1094444^2 .

It is a super-3 number, since 3×21122211102112³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 21122211102112.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1675295973 + ... + 1675308580.

Almost surely, 2^{21122211102112} is an apocalyptic number.

It is an amenable number.

21122211102112 is a deficient number, since it is larger than the sum of its proper divisors (20673230104484).

21122211102112 is a wasteful number, since it uses less digits than its factorization.

21122211102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3350604760 (or 3350604752 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 21122211102112 its reverse (21120111222112), we get a palindrome (42242322324224).

The spelling of 21122211102112 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred eleven million, one hundred two thousand, one hundred twelve".