2011120101011 has 8 divisors (see below), whose sum is σ = 2419392602880. Its totient is φ = 1633090006728.

The previous prime is 2011120100959. The next prime is 2011120101013. The reversal of 2011120101011 is 1101010211102.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2011120101011 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2011120100983 and 2011120101001.

It is not an unprimeable number, because it can be changed into a prime (2011120101013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7560601751 + ... + 7560602016.

It is an arithmetic number, because the mean of its divisors is an integer number (302424075360).

Almost surely, 2^{2011120101011} is an apocalyptic number.

2011120101011 is a deficient number, since it is larger than the sum of its proper divisors (408272501869).

2011120101011 is a wasteful number, since it uses less digits than its factorization.

2011120101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15121203793.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2011120101011 its reverse (1101010211102), we get a palindrome (3112130312113).

The spelling of 2011120101011 in words is "two trillion, eleven billion, one hundred twenty million, one hundred one thousand, eleven".