2000020010011 has 16 divisors (see below), whose sum is σ = 2126948803200. Its totient is φ = 1874123854848.

The previous prime is 2000020009987. The next prime is 2000020010063. The reversal of 2000020010011 is 1100100200002.

It is a cyclic number.

It is not a de Polignac number, because 2000020010011 - 2¹⁵ = 2000019977243 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2000020009976 and 2000020010003.

It is not an unprimeable number, because it can be changed into a prime (2000020013011) 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 15 ways as a sum of consecutive naturals, for example, 75519070 + ... + 75545548.

It is an arithmetic number, because the mean of its divisors is an integer number (132934300200).

Almost surely, 2^{2000020010011} is an apocalyptic number.

2000020010011 is a deficient number, since it is larger than the sum of its proper divisors (126928793189).

2000020010011 is a wasteful number, since it uses less digits than its factorization.

2000020010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45798.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 2000020010011 its reverse (1100100200002), we get a palindrome (3100120210013).

The spelling of 2000020010011 in words is "two trillion, twenty million, ten thousand, eleven".