100320101032200 has 768 divisors, whose sum is σ = 371719794124800. Its totient is φ = 21906378547200.

The previous prime is 100320101032159. The next prime is 100320101032219. The reversal of 100320101032200 is 2230101023001.

It is a super-2 number, since 2×100320101032200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100320101032200.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1971945964 + ... + 1971996836.

It is an arithmetic number, because the mean of its divisors is an integer number (484010148600).

Almost surely, 2^{100320101032200} is an apocalyptic number.

100320101032200 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 100320101032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185859897062400).

100320101032200 is an abundant number, since it is smaller than the sum of its proper divisors (271399693092600).

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

100320101032200 is a wasteful number, since it uses less digits than its factorization.

100320101032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51182 (or 51173 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100320101032200 its reverse (2230101023001), we get a palindrome (102550202055201).

The spelling of 100320101032200 in words is "one hundred trillion, three hundred twenty billion, one hundred one million, thirty-two thousand, two hundred".