100114210321 has 8 divisors (see below), whose sum is σ = 103694466600. Its totient is φ = 96542490240.

The previous prime is 100114210309. The next prime is 100114210381. The reversal of 100114210321 is 123012411001.

It can be written as a sum of positive squares in 4 ways, for example, as 11905210321 + 88209000000 = 109111^2 + 297000^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100114210321 - 2⁷ = 100114210193 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100114210295 and 100114210304.

It is not an unprimeable number, because it can be changed into a prime (100114210381) 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 7 ways as a sum of consecutive naturals, for example, 2110170 + ... + 2157091.

It is an arithmetic number, because the mean of its divisors is an integer number (12961808325).

Almost surely, 2^100114210321 is an apocalyptic number.

It is an amenable number.

100114210321 is a deficient number, since it is larger than the sum of its proper divisors (3580256279).

100114210321 is an equidigital number, since it uses as much as digits as its factorization.

100114210321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4268099.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 100114210321 its reverse (123012411001), we get a palindrome (223126621322).

The spelling of 100114210321 in words is "one hundred billion, one hundred fourteen million, two hundred ten thousand, three hundred twenty-one".