102003131112 has 128 divisors (see below), whose sum is σ = 281362636800. Its totient is φ = 30672145152.

The previous prime is 102003131099. The next prime is 102003131117. The reversal of 102003131112 is 211131300201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102003131091 and 102003131100.

It is not an unprimeable number, because it can be changed into a prime (102003131117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2317018 + ... + 2360630.

It is an arithmetic number, because the mean of its divisors is an integer number (2198145600).

Almost surely, 2^102003131112 is an apocalyptic number.

102003131112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102003131112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140681318400).

102003131112 is an abundant number, since it is smaller than the sum of its proper divisors (179359505688).

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

102003131112 is a wasteful number, since it uses less digits than its factorization.

102003131112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43887 (or 43883 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 102003131112 its reverse (211131300201), we get a palindrome (313134431313).

The spelling of 102003131112 in words is "one hundred two billion, three million, one hundred thirty-one thousand, one hundred twelve".