102002002110112 has 96 divisors (see below), whose sum is σ = 227671998523200. Its totient is φ = 44595005165568.

The previous prime is 102002002110101. The next prime is 102002002110163. The reversal of 102002002110112 is 211011200200201.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 102002002110092 and 102002002110101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69357064 + ... + 70812472.

It is an arithmetic number, because the mean of its divisors is an integer number (2371583317950).

Almost surely, 2^{102002002110112} 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 102002002110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113835999261600).

102002002110112 is an abundant number, since it is smaller than the sum of its proper divisors (125669996413088).

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

102002002110112 is a wasteful number, since it uses less digits than its factorization.

102002002110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464318 (or 1464310 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102002002110112 its reverse (211011200200201), we get a palindrome (313013202310313).

The spelling of 102002002110112 in words is "one hundred two trillion, two billion, two million, one hundred ten thousand, one hundred twelve".