2011000120001 has 16 divisors (see below), whose sum is σ = 2121413898240. Its totient is φ = 1901044823760.

The previous prime is 2011000119991. The next prime is 2011000120009. The reversal of 2011000120001 is 1000210001102.

It is a cyclic number.

It is not a de Polignac number, because 2011000120001 - 2¹⁴ = 2011000103617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2011000120009) 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 15 ways as a sum of consecutive naturals, for example, 70048016 + ... + 70076718.

It is an arithmetic number, because the mean of its divisors is an integer number (132588368640).

Almost surely, 2^{2011000120001} is an apocalyptic number.

It is an amenable number.

2011000120001 is a deficient number, since it is larger than the sum of its proper divisors (110413778239).

2011000120001 is a wasteful number, since it uses less digits than its factorization.

2011000120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36556.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2011000120001 its reverse (1000210001102), we get a palindrome (3011210121103).

The spelling of 2011000120001 in words is "two trillion, eleven billion, one hundred twenty thousand, one".