2121000102211 has 8 divisors (see below), whose sum is σ = 2194189984800. Its totient is φ = 2047813682880.

The previous prime is 2121000102197. The next prime is 2121000102271. The reversal of 2121000102211 is 1122010001212.

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 2121000102211 - 2³⁷ = 1983561148739 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2121000102191 and 2121000102200.

It is not an unprimeable number, because it can be changed into a prime (2121000102271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 412170 + ... + 2100448.

It is an arithmetic number, because the mean of its divisors is an integer number (274273748100).

Almost surely, 2^{2121000102211} is an apocalyptic number.

2121000102211 is a deficient number, since it is larger than the sum of its proper divisors (73189882589).

2121000102211 is a wasteful number, since it uses less digits than its factorization.

2121000102211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731629.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2121000102211 its reverse (1122010001212), we get a palindrome (3243010103423).

The spelling of 2121000102211 in words is "two trillion, one hundred twenty-one billion, one hundred two thousand, two hundred eleven".