102203000400 has 180 divisors, whose sum is σ = 347782548032. Its totient is φ = 25650862080.

The previous prime is 102203000351. The next prime is 102203000401. The reversal of 102203000400 is 4000302201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102203000401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 199449 + ... + 494151.

Almost surely, 2^102203000400 is an apocalyptic number.

102203000400 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 102203000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173891274016).

102203000400 is an abundant number, since it is smaller than the sum of its proper divisors (245579547632).

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

102203000400 is a wasteful number, since it uses less digits than its factorization.

102203000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294758 (or 294730 counting only the distinct ones).

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

Adding to 102203000400 its reverse (4000302201), we get a palindrome (106203302601).

The spelling of 102203000400 in words is "one hundred two billion, two hundred three million, four hundred", and thus it is an aban number.