102203203102000 has 1280 divisors, whose sum is σ = 336517261516800. Its totient is φ = 28990310400000.

The previous prime is 102203203101977. The next prime is 102203203102031. The reversal of 102203203102000 is 201302302201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 54392337061 + ... + 54392338939.

It is an arithmetic number, because the mean of its divisors is an integer number (262904110560).

Almost surely, 2^{102203203102000} is an apocalyptic number.

102203203102000 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 102203203102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168258630758400).

102203203102000 is an abundant number, since it is smaller than the sum of its proper divisors (234314058414800).

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

102203203102000 is a wasteful number, since it uses less digits than its factorization.

102203203102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2303 (or 2287 counting only the distinct ones).

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

Adding to 102203203102000 its reverse (201302302201), we get a palindrome (102404505404201).

The spelling of 102203203102000 in words is "one hundred two trillion, two hundred three billion, two hundred three million, one hundred two thousand".