100221122088 has 24 divisors (see below), whose sum is σ = 271432205850. Its totient is φ = 33407040672.

The previous prime is 100221122087. The next prime is 100221122101. The reversal of 100221122088 is 880221122001.

It can be written as a sum of positive squares in only one way, i.e., 74126596644 + 26094525444 = 272262^2 + 161538^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (100221122083) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 695979943 + ... + 695980086.

Almost surely, 2^100221122088 is an apocalyptic number.

100221122088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100221122088 is an abundant number, since it is smaller than the sum of its proper divisors (171211083762).

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

100221122088 is a wasteful number, since it uses less digits than its factorization.

100221122088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391960041 (or 1391960034 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

Adding to 100221122088 its reverse (880221122001), we get a palindrome (980442244089).

The spelling of 100221122088 in words is "one hundred billion, two hundred twenty-one million, one hundred twenty-two thousand, eighty-eight".