101300100332200 has 384 divisors, whose sum is σ = 295617849246720. Its totient is φ = 31361897779200.

The previous prime is 101300100332177. The next prime is 101300100332237. The reversal of 101300100332200 is 2233001003101.

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, 1513647939 + ... + 1513714861.

It is an arithmetic number, because the mean of its divisors is an integer number (769838149080).

Almost surely, 2^{101300100332200} is an apocalyptic number.

101300100332200 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 101300100332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147808924623360).

101300100332200 is an abundant number, since it is smaller than the sum of its proper divisors (194317748914520).

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

101300100332200 is a wasteful number, since it uses less digits than its factorization.

101300100332200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67617 (or 67608 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 101300100332200 its reverse (2233001003101), we get a palindrome (103533101335301).

The spelling of 101300100332200 in words is "one hundred one trillion, three hundred billion, one hundred million, three hundred thirty-two thousand, two hundred".