102330121113000 has 1536 divisors, whose sum is σ = 415951176775680. Its totient is φ = 22404833280000.

The previous prime is 102330121112971. The next prime is 102330121113001. The reversal of 102330121113000 is 311121033201.

102330121113000 is a `hidden beast` number, since 1 + 0 + 2 + 330 + 1 + 21 + 11 + 300 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102330121113001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4545771745 + ... + 4545794255.

It is an arithmetic number, because the mean of its divisors is an integer number (270801547380).

Almost surely, 2^{102330121113000} is an apocalyptic number.

102330121113000 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 102330121113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207975588387840).

102330121113000 is an abundant number, since it is smaller than the sum of its proper divisors (313621055662680).

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

102330121113000 is a wasteful number, since it uses less digits than its factorization.

102330121113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22676 (or 22659 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 102330121113000 its reverse (311121033201), we get a palindrome (102641242146201).

The spelling of 102330121113000 in words is "one hundred two trillion, three hundred thirty billion, one hundred twenty-one million, one hundred thirteen thousand".