2011121101019 has 24 divisors (see below), whose sum is σ = 2145241945728. Its totient is φ = 1884910072320.

The previous prime is 2011121101001. The next prime is 2011121101021. The reversal of 2011121101019 is 9101011211102.

It is not a de Polignac number, because 2011121101019 - 2²⁰ = 2011120052443 is a prime.

It is a super-2 number, since 2×2011121101019² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2011121101039) 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 23 ways as a sum of consecutive naturals, for example, 106337174 + ... + 106356084.

It is an arithmetic number, because the mean of its divisors is an integer number (89385081072).

Almost surely, 2^{2011121101019} is an apocalyptic number.

2011121101019 is a deficient number, since it is larger than the sum of its proper divisors (134120844709).

2011121101019 is a wasteful number, since it uses less digits than its factorization.

2011121101019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22083 (or 22064 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 20.

The spelling of 2011121101019 in words is "two trillion, eleven billion, one hundred twenty-one million, one hundred one thousand, nineteen".