2110211011121 has 8 divisors (see below), whose sum is σ = 2113112012544. Its totient is φ = 2107311624880.

The previous prime is 2110211011079. The next prime is 2110211011213. The reversal of 2110211011121 is 1211101120112.

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 2110211011121 - 2¹⁸ = 2110210748977 is a prime.

It is a super-2 number, since 2×2110211011121² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2110211011096 and 2110211011105.

It is not an unprimeable number, because it can be changed into a prime (2110211011621) 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, 2222690 + ... + 3026676.

It is an arithmetic number, because the mean of its divisors is an integer number (264139001568).

Almost surely, 2^{2110211011121} is an apocalyptic number.

It is an amenable number.

2110211011121 is a deficient number, since it is larger than the sum of its proper divisors (2901001423).

2110211011121 is a wasteful number, since it uses less digits than its factorization.

2110211011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807591.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 2110211011121 its reverse (1211101120112), we get a palindrome (3321312131233).

The spelling of 2110211011121 in words is "two trillion, one hundred ten billion, two hundred eleven million, eleven thousand, one hundred twenty-one".