1002103032000 has 448 divisors, whose sum is σ = 3785949573120. Its totient is φ = 228791808000.

The previous prime is 1002103031999. The next prime is 1002103032011. The reversal of 1002103032000 is 2303012001.

It is a happy number.

1002103032000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 174549130 + ... + 174554870.

Almost surely, 2^{1002103032000} is an apocalyptic number.

1002103032000 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 1002103032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892974786560).

1002103032000 is an abundant number, since it is smaller than the sum of its proper divisors (2783846541120).

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

1002103032000 is a wasteful number, since it uses less digits than its factorization.

1002103032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6817 (or 6797 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 1002103032000 its reverse (2303012001), we get a palindrome (1004406044001).

The spelling of 1002103032000 in words is "one trillion, two billion, one hundred three million, thirty-two thousand".