10202201101200 has 240 divisors, whose sum is σ = 34109821581696. Its totient is φ = 2604150681600.

The previous prime is 10202201101193. The next prime is 10202201101223. The reversal of 10202201101200 is 210110220201.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 651357 + ... + 4563843.

Almost surely, 2^{10202201101200} is an apocalyptic number.

10202201101200 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 10202201101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17054910790848).

10202201101200 is an abundant number, since it is smaller than the sum of its proper divisors (23907620480496).

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

10202201101200 is a wasteful number, since it uses less digits than its factorization.

10202201101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3912602 (or 3912591 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10202201101200 its reverse (210110220201), we get a palindrome (10412311321401).

The spelling of 10202201101200 in words is "ten trillion, two hundred two billion, two hundred one million, one hundred one thousand, two hundred".