100022200012 has 72 divisors (see below), whose sum is σ = 207558823248. Its totient is φ = 42044688000.

The previous prime is 100022200009. The next prime is 100022200037. The reversal of 100022200012 is 210002220001.

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 23 ways as a sum of consecutive naturals, for example, 2094562 + ... + 2141782.

It is an arithmetic number, because the mean of its divisors is an integer number (2882761434).

Almost surely, 2^100022200012 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 100022200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103779411624).

100022200012 is an abundant number, since it is smaller than the sum of its proper divisors (107536623236).

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

100022200012 is a wasteful number, since it uses less digits than its factorization.

100022200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47447 (or 47438 counting only the distinct ones).

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

Adding to 100022200012 its reverse (210002220001), we get a palindrome (310024420013).

It can be divided in two parts, 10002220001 and 2, that multiplied together give a palindrome (20004440002).

The spelling of 100022200012 in words is "one hundred billion, twenty-two million, two hundred thousand, twelve".