102420310300 has 144 divisors (see below), whose sum is σ = 277332749568. Its totient is φ = 31895654400.

The previous prime is 102420310271. The next prime is 102420310301. The reversal of 102420310300 is 3013024201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102420310301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10058812 + ... + 10068988.

It is an arithmetic number, because the mean of its divisors is an integer number (1925921872).

Almost surely, 2^102420310300 is an apocalyptic number.

102420310300 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 102420310300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138666374784).

102420310300 is an abundant number, since it is smaller than the sum of its proper divisors (174912439268).

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

102420310300 is a wasteful number, since it uses less digits than its factorization.

102420310300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11516 (or 11509 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 102420310300 its reverse (3013024201), we get a palindrome (105433334501).

The spelling of 102420310300 in words is "one hundred two billion, four hundred twenty million, three hundred ten thousand, three hundred".