102020400300 has 288 divisors, whose sum is σ = 364073920000. Its totient is φ = 21479178240.

The previous prime is 102020400281. The next prime is 102020400341. The reversal of 102020400300 is 3004020201.

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, 13618956 + ... + 13626444.

Almost surely, 2^102020400300 is an apocalyptic number.

102020400300 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 102020400300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182036960000).

102020400300 is an abundant number, since it is smaller than the sum of its proper divisors (262053519700).

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

102020400300 is a wasteful number, since it uses less digits than its factorization.

102020400300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8025 (or 8018 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 102020400300 its reverse (3004020201), we get a palindrome (105024420501).

The spelling of 102020400300 in words is "one hundred two billion, twenty million, four hundred thousand, three hundred".