102120210000300 has 288 divisors, whose sum is σ = 301659765539328. Its totient is φ = 26663531847680.

The previous prime is 102120210000293. The next prime is 102120210000371. The reversal of 102120210000300 is 3000012021201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26852538199 + ... + 26852542001.

It is an arithmetic number, because the mean of its divisors is an integer number (1047429741456).

Almost surely, 2^{102120210000300} is an apocalyptic number.

102120210000300 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 102120210000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150829882769664).

102120210000300 is an abundant number, since it is smaller than the sum of its proper divisors (199539555539028).

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

102120210000300 is a wasteful number, since it uses less digits than its factorization.

102120210000300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6889 (or 6882 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 102120210000300 its reverse (3000012021201), we get a palindrome (105120222021501).

The spelling of 102120210000300 in words is "one hundred two trillion, one hundred twenty billion, two hundred ten million, three hundred", and thus it is an aban number.