10112122211112 has 80 divisors (see below), whose sum is σ = 28324187776500. Its totient is φ = 3370602378240.

The previous prime is 10112122211069. The next prime is 10112122211159. The reversal of 10112122211112 is 21111222121101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9743350216356 + 368771994756 = 3121434^2 + 607266^2 .

It is a super-2 number, since 2×10112122211112² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22161912 + ... + 22613592.

Almost surely, 2^{10112122211112} is an apocalyptic number.

10112122211112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10112122211112 is an abundant number, since it is smaller than the sum of its proper divisors (18212065565388).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10112122211112 is a wasteful number, since it uses less digits than its factorization.

10112122211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486248 (or 486235 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 10112122211112 its reverse (21111222121101), we get a palindrome (31223344332213).

The spelling of 10112122211112 in words is "ten trillion, one hundred twelve billion, one hundred twenty-two million, two hundred eleven thousand, one hundred twelve".