102202300200000 has 1344 divisors, whose sum is σ = 453809010364416. Its totient is φ = 19603123200000.

The previous prime is 102202300199999. The next prime is 102202300200031. The reversal of 102202300200000 is 2003202201.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 600514917 + ... + 600685083.

It is an arithmetic number, because the mean of its divisors is an integer number (337655513664).

Almost surely, 2^{102202300200000} is an apocalyptic number.

102202300200000 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 102202300200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226904505182208).

102202300200000 is an abundant number, since it is smaller than the sum of its proper divisors (351606710164416).

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

102202300200000 is a wasteful number, since it uses less digits than its factorization.

102202300200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170238 (or 170208 counting only the distinct ones).

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

Adding to 102202300200000 its reverse (2003202201), we get a palindrome (102204303402201).

The spelling of 102202300200000 in words is "one hundred two trillion, two hundred two billion, three hundred million, two hundred thousand".