10112102112112 has 160 divisors (see below), whose sum is σ = 26551459597824. Its totient is φ = 3602731392000.

The previous prime is 10112102112109. The next prime is 10112102112113. The reversal of 10112102112112 is 21121120121101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112102112113) 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 31 ways as a sum of consecutive naturals, for example, 1236639 + ... + 4664062.

Almost surely, 2^{10112102112112} is an apocalyptic number.

It is an amenable number.

10112102112112 is an abundant number, since it is smaller than the sum of its proper divisors (16439357485712).

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

10112102112112 is a wasteful number, since it uses less digits than its factorization.

10112102112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5900847 (or 5900841 counting only the distinct ones).

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

Adding to 10112102112112 its reverse (21121120121101), we get a palindrome (31233222233213).

The spelling of 10112102112112 in words is "ten trillion, one hundred twelve billion, one hundred two million, one hundred twelve thousand, one hundred twelve".