100222022220012 has 216 divisors, whose sum is σ = 318290003053568. Its totient is φ = 26027933912640.

The previous prime is 100222022219999. The next prime is 100222022220059. The reversal of 100222022220012 is 210022220222001.

100222022220012 is a `hidden beast` number, since 10 + 0 + 2 + 220 + 222 + 200 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 214033413 + ... + 214501155.

Almost surely, 2^{100222022220012} is an apocalyptic number.

100222022220012 is a gapful number since it is divisible by the number (12) 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 100222022220012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159145001526784).

100222022220012 is an abundant number, since it is smaller than the sum of its proper divisors (218067980833556).

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

100222022220012 is a wasteful number, since it uses less digits than its factorization.

100222022220012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474809 (or 474793 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 100222022220012 its reverse (210022220222001), we get a palindrome (310244242442013).

It can be divided in two parts, 1002220 and 22220012, that added together give a palindrome (23222232).

The spelling of 100222022220012 in words is "one hundred trillion, two hundred twenty-two billion, twenty-two million, two hundred twenty thousand, twelve".