2011011101121 has 32 divisors (see below), whose sum is σ = 2954433047040. Its totient is φ = 1206600595200.

The previous prime is 2011011101119. The next prime is 2011011101129. The reversal of 2011011101121 is 1211011101102.

It is not a de Polignac number, because 2011011101121 - 2¹ = 2011011101119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2011011101097 and 2011011101106.

It is not an unprimeable number, because it can be changed into a prime (2011011101129) 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 31 ways as a sum of consecutive naturals, for example, 2889306 + ... + 3517116.

It is an arithmetic number, because the mean of its divisors is an integer number (92326032720).

Almost surely, 2^{2011011101121} is an apocalyptic number.

It is an amenable number.

2011011101121 is a deficient number, since it is larger than the sum of its proper divisors (943421945919).

2011011101121 is a wasteful number, since it uses less digits than its factorization.

2011011101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628797.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 2011011101121 its reverse (1211011101102), we get a palindrome (3222022202223).

The spelling of 2011011101121 in words is "two trillion, eleven billion, eleven million, one hundred one thousand, one hundred twenty-one".