1002330120100 has 72 divisors (see below), whose sum is σ = 2359171768968. Its totient is φ = 368144179200.

The previous prime is 1002330120031. The next prime is 1002330120107. The reversal of 1002330120100 is 10210332001.

It can be written as a sum of positive squares in 12 ways, for example, as 79762186084 + 922567934016 = 282422^2 + 960504^2 .

It is not an unprimeable number, because it can be changed into a prime (1002330120107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7120617 + ... + 7260016.

It is an arithmetic number, because the mean of its divisors is an integer number (32766274569).

Almost surely, 2^{1002330120100} is an apocalyptic number.

1002330120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002330120100 is an abundant number, since it is smaller than the sum of its proper divisors (1356841648868).

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

1002330120100 is a wasteful number, since it uses less digits than its factorization.

1002330120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14380705 (or 14380698 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 1002330120100 its reverse (10210332001), we get a palindrome (1012540452101).

The spelling of 1002330120100 in words is "one trillion, two billion, three hundred thirty million, one hundred twenty thousand, one hundred".