102202201200 has 480 divisors, whose sum is σ = 370204876800. Its totient is φ = 23877504000.

The previous prime is 102202201177. The next prime is 102202201217. The reversal of 102202201200 is 2102202201.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 155086471 + ... + 155087129.

It is an arithmetic number, because the mean of its divisors is an integer number (771260160).

Almost surely, 2^102202201200 is an apocalyptic number.

102202201200 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 102202201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185102438400).

102202201200 is an abundant number, since it is smaller than the sum of its proper divisors (268002675600).

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

102202201200 is a wasteful number, since it uses less digits than its factorization.

102202201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102202201200 its reverse (2102202201), we get a palindrome (104304403401).

The spelling of 102202201200 in words is "one hundred two billion, two hundred two million, two hundred one thousand, two hundred".