101320320202200 has 360 divisors, whose sum is σ = 374291922829500. Its totient is φ = 24562495478400.

The previous prime is 101320320202177. The next prime is 101320320202223. The reversal of 101320320202200 is 2202023023101.

101320320202200 is a `hidden beast` number, since 1 + 0 + 1 + 320 + 320 + 2 + 0 + 2 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (101320320202177) and next prime (101320320202223).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 24431491 + ... + 28276109.

Almost surely, 2^{101320320202200} is an apocalyptic number.

101320320202200 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 101320320202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187145961414750).

101320320202200 is an abundant number, since it is smaller than the sum of its proper divisors (272971602627300).

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

101320320202200 is a wasteful number, since it uses less digits than its factorization.

101320320202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3844685 (or 3844640 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 101320320202200 its reverse (2202023023101), we get a palindrome (103522343225301).

The spelling of 101320320202200 in words is "one hundred one trillion, three hundred twenty billion, three hundred twenty million, two hundred two thousand, two hundred".