100011222010000 has 200 divisors, whose sum is σ = 276819782114304. Its totient is φ = 34278213120000.

The previous prime is 100011222009991. The next prime is 100011222010001. The reversal of 100011222010000 is 10222110001.

It is a tau number, because it is divible by the number of its divisors (200).

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

It is not an unprimeable number, because it can be changed into a prime (100011222010001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 212635089 + ... + 213104911.

Almost surely, 2^{100011222010000} is an apocalyptic number.

100011222010000 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 100011222010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138409891057152).

100011222010000 is an abundant number, since it is smaller than the sum of its proper divisors (176808560104304).

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

100011222010000 is an equidigital number, since it uses as much as digits as its factorization.

100011222010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472899 (or 472878 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100011222010000 its reverse (10222110001), we get a palindrome (100021444120001).

The spelling of 100011222010000 in words is "one hundred trillion, eleven billion, two hundred twenty-two million, ten thousand".