100220222010112 has 144 divisors (see below), whose sum is σ = 211139257029120. Its totient is φ = 47346240614400.

The previous prime is 100220222010109. The next prime is 100220222010157. The reversal of 100220222010112 is 211010222022001.

It is a happy number.

It is a super-2 number, since 2×100220222010112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 15 ways as a sum of consecutive naturals, for example, 12087828687 + ... + 12087836977.

It is an arithmetic number, because the mean of its divisors is an integer number (1466244840480).

Almost surely, 2^{100220222010112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100220222010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105569628514560).

100220222010112 is an abundant number, since it is smaller than the sum of its proper divisors (110919035019008).

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

100220222010112 is an equidigital number, since it uses as much as digits as its factorization.

100220222010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14650 (or 14636 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100220222010112 its reverse (211010222022001), we get a palindrome (311230444032113).

The spelling of 100220222010112 in words is "one hundred trillion, two hundred twenty billion, two hundred twenty-two million, ten thousand, one hundred twelve".