2001020001011 has 8 divisors (see below), whose sum is σ = 2125496161584. Its totient is φ = 1877295962880.

The previous prime is 2001020000963. The next prime is 2001020001031. The reversal of 2001020001011 is 1101000201002.

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

It is a cyclic number.

It is not a de Polignac number, because 2001020001011 - 2¹⁴ = 2001019984627 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2001020001011.

It is not an unprimeable number, because it can be changed into a prime (2001020001031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 188025125 + ... + 188035766.

It is an arithmetic number, because the mean of its divisors is an integer number (265687020198).

Almost surely, 2^{2001020001011} is an apocalyptic number.

2001020001011 is a deficient number, since it is larger than the sum of its proper divisors (124476160573).

2001020001011 is a wasteful number, since it uses less digits than its factorization.

2001020001011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376061221.

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

Adding to 2001020001011 its reverse (1101000201002), we get a palindrome (3102020202013).

The spelling of 2001020001011 in words is "two trillion, one billion, twenty million, one thousand, eleven".