2101011011011 has 8 divisors (see below), whose sum is σ = 2292045676848. Its totient is φ = 1909981956000.

The previous prime is 2101011010963. The next prime is 2101011011069. The reversal of 2101011011011 is 1101101101012.

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 2101011011011 - 2⁹ = 2101011010499 is a prime.

It is a Duffinian number.

2101011011011 is a modest number, since divided by 11011011 gives 2101 as remainder.

It is not an unprimeable number, because it can be changed into a prime (2101011051011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 599760 + ... + 2135821.

It is an arithmetic number, because the mean of its divisors is an integer number (286505709606).

Almost surely, 2^{2101011011011} is an apocalyptic number.

2101011011011 is a deficient number, since it is larger than the sum of its proper divisors (191034665837).

2101011011011 is a wasteful number, since it uses less digits than its factorization.

2101011011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2805413.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 2101011011011 its reverse (1101101101012), we get a palindrome (3202112112023).

Subtracting from 2101011011011 its reverse (1101101101012), we obtain a palindrome (999909909999).

The spelling of 2101011011011 in words is "two trillion, one hundred one billion, eleven million, eleven thousand, eleven".