102203021400 has 288 divisors, whose sum is σ = 326570616000. Its totient is φ = 26432743680.

The previous prime is 102203021383. The next prime is 102203021443. The reversal of 102203021400 is 4120302201.

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 102203021400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 570966511 + ... + 570966689.

It is an arithmetic number, because the mean of its divisors is an integer number (1133925750).

Almost surely, 2^102203021400 is an apocalyptic number.

102203021400 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 102203021400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163285308000).

102203021400 is an abundant number, since it is smaller than the sum of its proper divisors (224367594600).

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

102203021400 is a wasteful number, since it uses less digits than its factorization.

102203021400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 102203021400 its reverse (4120302201), we get a palindrome (106323323601).

The spelling of 102203021400 in words is "one hundred two billion, two hundred three million, twenty-one thousand, four hundred".