102001023303000 has 512 divisors, whose sum is σ = 331555943347200. Its totient is φ = 26086910976000.

The previous prime is 102001023302993. The next prime is 102001023303007. The reversal of 102001023303000 is 303320100201.

It is an interprime number because it is at equal distance from previous prime (102001023302993) and next prime (102001023303007).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001023303007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4666306071 + ... + 4666327929.

It is an arithmetic number, because the mean of its divisors is an integer number (647570201850).

Almost surely, 2^{102001023303000} is an apocalyptic number.

102001023303000 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 102001023303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165777971673600).

102001023303000 is an abundant number, since it is smaller than the sum of its proper divisors (229554920044200).

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

102001023303000 is a wasteful number, since it uses less digits than its factorization.

102001023303000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22580 (or 22566 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 102001023303000 its reverse (303320100201), we get a palindrome (102304343403201).

The spelling of 102001023303000 in words is "one hundred two trillion, one billion, twenty-three million, three hundred three thousand".