102000320330100 has 144 divisors (see below), whose sum is σ = 295841221699968. Its totient is φ = 27133728860160.

The previous prime is 102000320330087. The next prime is 102000320330113. The reversal of 102000320330100 is 1033023000201.

It is an interprime number because it is at equal distance from previous prime (102000320330087) and next prime (102000320330113).

It is a super-2 number, since 2×102000320330100² (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 102000320330100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 556123009 + ... + 556306391.

It is an arithmetic number, because the mean of its divisors is an integer number (2054452928472).

Almost surely, 2^{102000320330100} is an apocalyptic number.

102000320330100 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 102000320330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147920610849984).

102000320330100 is an abundant number, since it is smaller than the sum of its proper divisors (193840901369868).

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

102000320330100 is a wasteful number, since it uses less digits than its factorization.

102000320330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187914 (or 187907 counting only the distinct ones).

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

Adding to 102000320330100 its reverse (1033023000201), we get a palindrome (103033343330301).

The spelling of 102000320330100 in words is "one hundred two trillion, three hundred twenty million, three hundred thirty thousand, one hundred".