100101001120 has 96 divisors (see below), whose sum is σ = 249895134720. Its totient is φ = 37814599680.

The previous prime is 100101001103. The next prime is 100101001123. The reversal of 100101001120 is 21100101001.

It is not an unprimeable number, because it can be changed into a prime (100101001123) 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 15 ways as a sum of consecutive naturals, for example, 118560 + ... + 462880.

It is an arithmetic number, because the mean of its divisors is an integer number (2603074320).

Almost surely, 2^100101001120 is an apocalyptic number.

100101001120 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 100101001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124947567360).

100101001120 is an abundant number, since it is smaller than the sum of its proper divisors (149794133600).

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

100101001120 is a wasteful number, since it uses less digits than its factorization.

100101001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344438 (or 344430 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100101001120 its reverse (21100101001), we get a palindrome (121201102121).

The spelling of 100101001120 in words is "one hundred billion, one hundred one million, one thousand, one hundred twenty".