100101121320 has 128 divisors (see below), whose sum is σ = 302790441600. Its totient is φ = 26473214976.

The previous prime is 100101121297. The next prime is 100101121321. The reversal of 100101121320 is 23121101001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100101121296 and 100101121305.

It is not an unprimeable number, because it can be changed into a prime (100101121321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10489111 + ... + 10498649.

It is an arithmetic number, because the mean of its divisors is an integer number (2365550325).

Almost surely, 2^100101121320 is an apocalyptic number.

100101121320 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 100101121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151395220800).

100101121320 is an abundant number, since it is smaller than the sum of its proper divisors (202689320280).

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

100101121320 is a wasteful number, since it uses less digits than its factorization.

100101121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10267 (or 10263 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 100101121320 its reverse (23121101001), we get a palindrome (123222222321).

The spelling of 100101121320 in words is "one hundred billion, one hundred one million, one hundred twenty-one thousand, three hundred twenty".