10002133321120 has 48 divisors (see below), whose sum is σ = 23632135581600. Its totient is φ = 4000498516224.

The previous prime is 10002133321069. The next prime is 10002133321121. The reversal of 10002133321120 is 2112333120001.

It is not an unprimeable number, because it can be changed into a prime (10002133321121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 958482 + ... + 4574161.

It is an arithmetic number, because the mean of its divisors is an integer number (492336157950).

Almost surely, 2^{10002133321120} is an apocalyptic number.

10002133321120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002133321120 is an abundant number, since it is smaller than the sum of its proper divisors (13630002260480).

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

10002133321120 is a wasteful number, since it uses less digits than its factorization.

10002133321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5543957 (or 5543949 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 10002133321120 its reverse (2112333120001), we get a palindrome (12114466441121).

The spelling of 10002133321120 in words is "ten trillion, two billion, one hundred thirty-three million, three hundred twenty-one thousand, one hundred twenty".