101331021200200 has 144 divisors (see below), whose sum is σ = 259104403913040. Its totient is φ = 36827008521600.

The previous prime is 101331021200153. The next prime is 101331021200239. The reversal of 101331021200200 is 2002120133101.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42073819 + ... + 44416981.

It is an arithmetic number, because the mean of its divisors is an integer number (1799336138285).

Almost surely, 2^{101331021200200} is an apocalyptic number.

101331021200200 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 101331021200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129552201956520).

101331021200200 is an abundant number, since it is smaller than the sum of its proper divisors (157773382712840).

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

101331021200200 is a wasteful number, since it uses less digits than its factorization.

101331021200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344988 (or 2344968 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 101331021200200 its reverse (2002120133101), we get a palindrome (103333141333301).

The spelling of 101331021200200 in words is "one hundred one trillion, three hundred thirty-one billion, twenty-one million, two hundred thousand, two hundred".