10000211003121 has 8 divisors (see below), whose sum is σ = 13355366083840. Its totient is φ = 6655931628912.

The previous prime is 10000211003099. The next prime is 10000211003129. The reversal of 10000211003121 is 12130011200001.

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

It is not a de Polignac number, because 10000211003121 - 2⁷ = 10000211002993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10000211003097 and 10000211003106.

It is not an unprimeable number, because it can be changed into a prime (10000211003129) 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, 2718924481 + ... + 2718928158.

It is an arithmetic number, because the mean of its divisors is an integer number (1669420760480).

Almost surely, 2^{10000211003121} is an apocalyptic number.

It is an amenable number.

10000211003121 is a deficient number, since it is larger than the sum of its proper divisors (3355155080719).

10000211003121 is an equidigital number, since it uses as much as digits as its factorization.

10000211003121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5437853255.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10000211003121 its reverse (12130011200001), we get a palindrome (22130222203122).

The spelling of 10000211003121 in words is "ten trillion, two hundred eleven million, three thousand, one hundred twenty-one".