101201200200 has 192 divisors, whose sum is σ = 348752232000. Its totient is φ = 26973803520.

The previous prime is 101201200129. The next prime is 101201200213. The reversal of 101201200200 is 2002102101.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 16677567 + ... + 16683633.

It is an arithmetic number, because the mean of its divisors is an integer number (1816417875).

Almost surely, 2^101201200200 is an apocalyptic number.

101201200200 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 101201200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174376116000).

101201200200 is an abundant number, since it is smaller than the sum of its proper divisors (247551031800).

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

101201200200 is a wasteful number, since it uses less digits than its factorization.

101201200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9181 (or 9166 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101201200200 its reverse (2002102101), we get a palindrome (103203302301).

It can be divided in two parts, 101201 and 200200, that added together give a square (301401 = 549²).

The spelling of 101201200200 in words is "one hundred one billion, two hundred one million, two hundred thousand, two hundred".