10112002000 has 80 divisors (see below), whose sum is σ = 24725984400. Its totient is φ = 3999283200.

The previous prime is 10112001961. The next prime is 10112002037. The reversal of 10112002000 is 20021101.

It can be written as a sum of positive squares in 8 ways, for example, as 8374446144 + 1737555856 = 91512^2 + 41684^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149596 + ... + 206404.

It is an arithmetic number, because the mean of its divisors is an integer number (309074805).

Almost surely, 2^10112002000 is an apocalyptic number.

10112002000 is a gapful number since it is divisible by the number (10) 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 10112002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12362992200).

10112002000 is an abundant number, since it is smaller than the sum of its proper divisors (14613982400).

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

10112002000 is an equidigital number, since it uses as much as digits as its factorization.

10112002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56921 (or 56905 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10112002000 its reverse (20021101), we get a palindrome (10132023101).

The spelling of 10112002000 in words is "ten billion, one hundred twelve million, two thousand".