2011101202011 has 12 divisors (see below), whose sum is σ = 2947399007336. Its totient is φ = 1218849213120.

The previous prime is 2011101201997. The next prime is 2011101202037. The reversal of 2011101202011 is 1102021011102.

It is not a de Polignac number, because 2011101202011 - 2⁵ = 2011101201979 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2011101202111) 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 11 ways as a sum of consecutive naturals, for example, 2770111486 + ... + 2770112211.

Almost surely, 2^{2011101202011} is an apocalyptic number.

2011101202011 is a deficient number, since it is larger than the sum of its proper divisors (936297805325).

2011101202011 is a wasteful number, since it uses less digits than its factorization.

2011101202011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5540223722 (or 5540223711 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2011101202011 its reverse (1102021011102), we get a palindrome (3113122213113).

The spelling of 2011101202011 in words is "two trillion, eleven billion, one hundred one million, two hundred two thousand, eleven".