10112002102112 has 96 divisors (see below), whose sum is σ = 20807982784512. Its totient is φ = 4832515989504.

The previous prime is 10112002102087. The next prime is 10112002102117. The reversal of 10112002102112 is 21120120021101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112002102117) 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, 550543553 + ... + 550561919.

It is an arithmetic number, because the mean of its divisors is an integer number (216749820672).

Almost surely, 2^{10112002102112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10112002102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10403991392256).

10112002102112 is an abundant number, since it is smaller than the sum of its proper divisors (10695980682400).

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

10112002102112 is a wasteful number, since it uses less digits than its factorization.

10112002102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26980 (or 26972 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10112002102112 its reverse (21120120021101), we get a palindrome (31232122123213).

The spelling of 10112002102112 in words is "ten trillion, one hundred twelve billion, two million, one hundred two thousand, one hundred twelve".