102201110200000 has 336 divisors, whose sum is σ = 304950979388160. Its totient is φ = 33196141440000.

The previous prime is 102201110199973. The next prime is 102201110200031. The reversal of 102201110200000 is 2011102201.

It is a super-2 number, since 2×102201110200000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 102201110200000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24678927 + ... + 28521073.

It is an arithmetic number, because the mean of its divisors is an integer number (907592200560).

Almost surely, 2^{102201110200000} is an apocalyptic number.

102201110200000 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 102201110200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152475489694080).

102201110200000 is an abundant number, since it is smaller than the sum of its proper divisors (202749869188160).

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

102201110200000 is an frugal number, since it uses more digits than its factorization.

102201110200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3842210 (or 3842180 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102201110200000 its reverse (2011102201), we get a palindrome (102203121302201).

The spelling of 102201110200000 in words is "one hundred two trillion, two hundred one billion, one hundred ten million, two hundred thousand".