102201011101200 has 240 divisors, whose sum is σ = 357169606057152. Its totient is φ = 24774370560000.

The previous prime is 102201011101097. The next prime is 102201011101223. The reversal of 102201011101200 is 2101110102201.

102201011101200 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 (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, 206478010 + ... + 206972390.

Almost surely, 2^{102201011101200} is an apocalyptic number.

102201011101200 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 102201011101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178584803028576).

102201011101200 is an abundant number, since it is smaller than the sum of its proper divisors (254968594955952).

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

102201011101200 is a wasteful number, since it uses less digits than its factorization.

102201011101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510074 (or 510063 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102201011101200 its reverse (2101110102201), we get a palindrome (104302121203401).

The spelling of 102201011101200 in words is "one hundred two trillion, two hundred one billion, eleven million, one hundred one thousand, two hundred".