102300322002000 has 320 divisors, whose sum is σ = 334446925812480. Its totient is φ = 26897319936000.

The previous prime is 102300322001987. The next prime is 102300322002031. The reversal of 102300322002000 is 200223003201.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1352944195 + ... + 1353019805.

It is an arithmetic number, because the mean of its divisors is an integer number (1045146643164).

Almost surely, 2^{102300322002000} is an apocalyptic number.

102300322002000 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 102300322002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167223462906240).

102300322002000 is an abundant number, since it is smaller than the sum of its proper divisors (232146603810480).

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

102300322002000 is a wasteful number, since it uses less digits than its factorization.

102300322002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78799 (or 78783 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 102300322002000 its reverse (200223003201), we get a palindrome (102500545005201).

The spelling of 102300322002000 in words is "one hundred two trillion, three hundred billion, three hundred twenty-two million, two thousand".