3002132102000 has 160 divisors (see below), whose sum is σ = 7701861495744. Its totient is φ = 1127906304000.

The previous prime is 3002132101993. The next prime is 3002132102071. The reversal of 3002132102000 is 2012312003.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16604084 + ... + 16783916.

Almost surely, 2^{3002132102000} 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 3002132102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3850930747872).

3002132102000 is an abundant number, since it is smaller than the sum of its proper divisors (4699729393744).

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

3002132102000 is a wasteful number, since it uses less digits than its factorization.

3002132102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180364 (or 180348 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 3002132102000 its reverse (2012312003), we get a palindrome (3004144414003).

The spelling of 3002132102000 in words is "three trillion, two billion, one hundred thirty-two million, one hundred two thousand".