100120210988 has 72 divisors (see below), whose sum is σ = 205254129024. Its totient is φ = 42606950400.

The previous prime is 100120210987. The next prime is 100120211021. The reversal of 100120210988 is 889012021001.

It is a super-2 number, since 2×100120210988² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100120210987) 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 23 ways as a sum of consecutive naturals, for example, 18398348 + ... + 18403788.

It is an arithmetic number, because the mean of its divisors is an integer number (2850751792).

Almost surely, 2^100120210988 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 100120210988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102627064512).

100120210988 is an abundant number, since it is smaller than the sum of its proper divisors (105133918036).

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

100120210988 is a wasteful number, since it uses less digits than its factorization.

100120210988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6103 (or 6094 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 32.

Adding to 100120210988 its reverse (889012021001), we get a palindrome (989132231989).

The spelling of 100120210988 in words is "one hundred billion, one hundred twenty million, two hundred ten thousand, nine hundred eighty-eight".