100022100100 has 72 divisors (see below), whose sum is σ = 233956610888. Its totient is φ = 36897638400.

The previous prime is 100022100089. The next prime is 100022100109. The reversal of 100022100100 is 1001220001.

It can be written as a sum of positive squares in 12 ways, for example, as 96412734016 + 3609366084 = 310504^2 + 60078^2 .

It is not an unprimeable number, because it can be changed into a prime (100022100109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1417660 + ... + 1486540.

Almost surely, 2^100022100100 is an apocalyptic number.

100022100100 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 100022100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116978305444).

100022100100 is an abundant number, since it is smaller than the sum of its proper divisors (133934510788).

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

100022100100 is a wasteful number, since it uses less digits than its factorization.

100022100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70025 (or 70018 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 100022100100 its reverse (1001220001), we get a palindrome (101023320101).

The spelling of 100022100100 in words is "one hundred billion, twenty-two million, one hundred thousand, one hundred".