100121233024 has 64 divisors (see below), whose sum is σ = 212973013440. Its totient is φ = 46770425856.

The previous prime is 100121233021. The next prime is 100121233061. The reversal of 100121233024 is 420332121001.

It is a happy number.

100121233024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×100121233024² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100121232992 and 100121233010.

It is not an unprimeable number, because it can be changed into a prime (100121233021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 268857 + ... + 522040.

It is an arithmetic number, because the mean of its divisors is an integer number (3327703335).

Almost surely, 2^100121233024 is an apocalyptic number.

It is an amenable number.

100121233024 is an abundant number, since it is smaller than the sum of its proper divisors (112851780416).

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

100121233024 is an equidigital number, since it uses as much as digits as its factorization.

100121233024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790977 (or 790965 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 100121233024 its reverse (420332121001), we get a palindrome (520453354025).

The spelling of 100121233024 in words is "one hundred billion, one hundred twenty-one million, two hundred thirty-three thousand, twenty-four".