100121321120 has 24 divisors (see below), whose sum is σ = 236536621524. Its totient is φ = 40048528384.

The previous prime is 100121321107. The next prime is 100121321149. The reversal of 100121321120 is 21123121001.

It can be written as a sum of positive squares in 2 ways, for example, as 97901403664 + 2219917456 = 312892^2 + 47116^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100121321095 and 100121321104.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 312878969 + ... + 312879288.

Almost surely, 2^100121321120 is an apocalyptic number.

100121321120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100121321120 is an abundant number, since it is smaller than the sum of its proper divisors (136415300404).

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

100121321120 is an equidigital number, since it uses as much as digits as its factorization.

100121321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625758272 (or 625758264 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 100121321120 its reverse (21123121001), we get a palindrome (121244442121).

The spelling of 100121321120 in words is "one hundred billion, one hundred twenty-one million, three hundred twenty-one thousand, one hundred twenty".