100121415296 has 128 divisors (see below), whose sum is σ = 231623884800. Its totient is φ = 42222763008.

The previous prime is 100121415293. The next prime is 100121415337. The reversal of 100121415296 is 692514121001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (100121415293) 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, 19556225 + ... + 19561343.

It is an arithmetic number, because the mean of its divisors is an integer number (1809561600).

Almost surely, 2^100121415296 is an apocalyptic number.

100121415296 is a gapful number since it is divisible by the number (16) 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 100121415296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115811942400).

100121415296 is an abundant number, since it is smaller than the sum of its proper divisors (131502469504).

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

100121415296 is an equidigital number, since it uses as much as digits as its factorization.

100121415296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5486 (or 5474 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 32.

Adding to 100121415296 its reverse (692514121001), we get a palindrome (792635536297).

The spelling of 100121415296 in words is "one hundred billion, one hundred twenty-one million, four hundred fifteen thousand, two hundred ninety-six".