200102111101200 has 480 divisors, whose sum is σ = 799270557696000. Its totient is φ = 41573962137600.

The previous prime is 200102111101199. The next prime is 200102111101237. The reversal of 200102111101200 is 2101111201002.

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 95 ways as a sum of consecutive naturals, for example, 691654176 + ... + 691943424.

It is an arithmetic number, because the mean of its divisors is an integer number (1665146995200).

Almost surely, 2^{200102111101200} is an apocalyptic number.

200102111101200 is a gapful number since it is divisible by the number (20) 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 200102111101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399635278848000).

200102111101200 is an abundant number, since it is smaller than the sum of its proper divisors (599168446594800).

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

200102111101200 is a wasteful number, since it uses less digits than its factorization.

200102111101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296775 (or 296764 counting only the distinct ones).

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

Adding to 200102111101200 its reverse (2101111201002), we get a palindrome (202203222302202).

The spelling of 200102111101200 in words is "two hundred trillion, one hundred two billion, one hundred eleven million, one hundred one thousand, two hundred".