100011202200 has 960 divisors, whose sum is σ = 431034912000. Its totient is φ = 20928015360.

The previous prime is 100011202199. The next prime is 100011202211. The reversal of 100011202200 is 2202110001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 263881611 + ... + 263881989.

It is an arithmetic number, because the mean of its divisors is an integer number (448994700).

Almost surely, 2^100011202200 is an apocalyptic number.

100011202200 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 100011202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215517456000).

100011202200 is an abundant number, since it is smaller than the sum of its proper divisors (331023709800).

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

100011202200 is a wasteful number, since it uses less digits than its factorization.

100011202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100011202200 its reverse (2202110001), we get a palindrome (102213312201).

It can be divided in two parts, 10001 and 1202200, that added together give a square (1212201 = 1101²).

The spelling of 100011202200 in words is "one hundred billion, eleven million, two hundred two thousand, two hundred".