2120211011011 has 8 divisors (see below), whose sum is σ = 2188647733248. Its totient is φ = 2051776965000.

The previous prime is 2120211010999. The next prime is 2120211011029. The reversal of 2120211011011 is 1101101120212.

It is a happy number.

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 2120211011011 - 2²⁹ = 2119674140099 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2120211010982 and 2120211011000.

It is not an unprimeable number, because it can be changed into a prime (2120211011911) 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, 1007736 + ... + 2292586.

It is an arithmetic number, because the mean of its divisors is an integer number (273580966656).

Almost surely, 2^{2120211011011} is an apocalyptic number.

2120211011011 is a deficient number, since it is larger than the sum of its proper divisors (68436722237).

2120211011011 is a wasteful number, since it uses less digits than its factorization.

2120211011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338113.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2120211011011 its reverse (1101101120212), we get a palindrome (3221312131223).

The spelling of 2120211011011 in words is "two trillion, one hundred twenty billion, two hundred eleven million, eleven thousand, eleven".