102200023030000 has 200 divisors, whose sum is σ = 282846634479200. Its totient is φ = 35032314240000.

The previous prime is 102200023029931. The next prime is 102200023030009. The reversal of 102200023030000 is 30320002201.

It is a happy number.

102200023030000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200023030009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 323312026 + ... + 323627974.

It is an arithmetic number, because the mean of its divisors is an integer number (1414233172396).

Almost surely, 2^{102200023030000} is an apocalyptic number.

102200023030000 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 102200023030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141423317239600).

102200023030000 is an abundant number, since it is smaller than the sum of its proper divisors (180646611449200).

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

102200023030000 is an equidigital number, since it uses as much as digits as its factorization.

102200023030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320605 (or 320584 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 102200023030000 its reverse (30320002201), we get a palindrome (102230343032201).

The spelling of 102200023030000 in words is "one hundred two trillion, two hundred billion, twenty-three million, thirty thousand".