101201033033200 has 240 divisors, whose sum is σ = 249687158999040. Its totient is φ = 39404456847360.

The previous prime is 101201033033183. The next prime is 101201033033249. The reversal of 101201033033200 is 2330330102101.

It is a congruent number.

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, 4262340529 + ... + 4262364271.

It is an arithmetic number, because the mean of its divisors is an integer number (1040363162496).

Almost surely, 2^{101201033033200} is an apocalyptic number.

101201033033200 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 101201033033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124843579499520).

101201033033200 is an abundant number, since it is smaller than the sum of its proper divisors (148486125965840).

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

101201033033200 is a wasteful number, since it uses less digits than its factorization.

101201033033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25704 (or 25693 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 101201033033200 its reverse (2330330102101), we get a palindrome (103531363135301).

The spelling of 101201033033200 in words is "one hundred one trillion, two hundred one billion, thirty-three million, thirty-three thousand, two hundred".