100121013024 has 96 divisors (see below), whose sum is σ = 265868640576. Its totient is φ = 32987136000.

The previous prime is 100121012989. The next prime is 100121013043. The reversal of 100121013024 is 420310121001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 100121012994 and 100121013012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7694524 + ... + 7707524.

It is an arithmetic number, because the mean of its divisors is an integer number (2769465006).

Almost surely, 2^100121013024 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 100121013024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132934320288).

100121013024 is an abundant number, since it is smaller than the sum of its proper divisors (165747627552).

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

100121013024 is a wasteful number, since it uses less digits than its factorization.

100121013024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13938 (or 13930 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 100121013024 its reverse (420310121001), we get a palindrome (520431134025).

The spelling of 100121013024 in words is "one hundred billion, one hundred twenty-one million, thirteen thousand, twenty-four".