100001222000000 has 448 divisors, whose sum is σ = 260726592344400. Its totient is φ = 38154009600000.

The previous prime is 100001221999957. The next prime is 100001222000033. The reversal of 100001222000000 is 222100001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 4813989614 + ... + 4814010386.

Almost surely, 2^{100001222000000} is an apocalyptic number.

100001222000000 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 100001222000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130363296172200).

100001222000000 is an abundant number, since it is smaller than the sum of its proper divisors (160725370344400).

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

100001222000000 is an frugal number, since it uses more digits than its factorization.

100001222000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20929 (or 20892 counting only the distinct ones).

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

Adding to 100001222000000 its reverse (222100001), we get a palindrome (100001444100001).

The spelling of 100001222000000 in words is "one hundred trillion, one billion, two hundred twenty-two million", and thus it is an aban number.