2011011002001 has 20 divisors (see below), whose sum is σ = 3006841458852. Its totient is φ = 1339451814528.

The previous prime is 2011011001999. The next prime is 2011011002009. The reversal of 2011011002001 is 1002001101102.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 214298629776 + 1796712372225 = 462924^2 + 1340415^2 .

It is not a de Polignac number, because 2011011002001 - 2¹ = 2011011001999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2011011002009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11227140 + ... + 11404853.

Almost surely, 2^{2011011002001} is an apocalyptic number.

It is an amenable number.

2011011002001 is a deficient number, since it is larger than the sum of its proper divisors (995830456851).

2011011002001 is a wasteful number, since it uses less digits than its factorization.

2011011002001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22633102 (or 22633093 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2011011002001 its reverse (1002001101102), we get a palindrome (3013012103103).

The spelling of 2011011002001 in words is "two trillion, eleven billion, eleven million, two thousand, one".