102113203203000 has 1024 divisors, whose sum is σ = 388471479552000. Its totient is φ = 24607798272000.

The previous prime is 102113203202953. The next prime is 102113203203017. The reversal of 102113203203000 is 302302311201.

102113203203000 is a `hidden beast` number, since 1 + 0 + 2 + 11 + 32 + 0 + 320 + 300 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 78127928347 + ... + 78127929653.

It is an arithmetic number, because the mean of its divisors is an integer number (379366679250).

Almost surely, 2^{102113203203000} is an apocalyptic number.

102113203203000 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 102113203203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194235739776000).

102113203203000 is an abundant number, since it is smaller than the sum of its proper divisors (286358276349000).

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

102113203203000 is a wasteful number, since it uses less digits than its factorization.

102113203203000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2710 (or 2690 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102113203203000 its reverse (302302311201), we get a palindrome (102415505514201).

The spelling of 102113203203000 in words is "one hundred two trillion, one hundred thirteen billion, two hundred three million, two hundred three thousand".