100100002202200 has 576 divisors, whose sum is σ = 319818055021920. Its totient is φ = 28640812032000.

The previous prime is 100100002202141. The next prime is 100100002202287. The reversal of 100100002202200 is 2202200001001.

It is a Harshad number since it is a multiple of its sum of digits (10).

100100002202200 is a modest number, since divided by 2202200 gives 1001000 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 253456084 + ... + 253850716.

Almost surely, 2^{100100002202200} is an apocalyptic number.

100100002202200 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 100100002202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159909027510960).

100100002202200 is an abundant number, since it is smaller than the sum of its proper divisors (219718052819720).

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

100100002202200 is a wasteful number, since it uses less digits than its factorization.

100100002202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394868 (or 394852 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 100100002202200 its reverse (2202200001001), we get a palindrome (102302202203201).

The spelling of 100100002202200 in words is "one hundred trillion, one hundred billion, two million, two hundred two thousand, two hundred".