2011020100011 has 36 divisors (see below), whose sum is σ = 3165476731248. Its totient is φ = 1229668195392.

The previous prime is 2011020099961. The next prime is 2011020100043. The reversal of 2011020100011 is 1100010201102.

It is a happy number.

It is not a de Polignac number, because 2011020100011 - 2¹¹ = 2011020097963 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 2011020099966 and 2011020100002.

It is not an unprimeable number, because it can be changed into a prime (2011020100091) 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 35 ways as a sum of consecutive naturals, for example, 3971935 + ... + 4449528.

Almost surely, 2^{2011020100011} is an apocalyptic number.

2011020100011 is a deficient number, since it is larger than the sum of its proper divisors (1154456631237).

2011020100011 is a wasteful number, since it uses less digits than its factorization.

2011020100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8421652 (or 8421636 counting only the distinct ones).

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

Adding to 2011020100011 its reverse (1100010201102), we get a palindrome (3111030301113).

The spelling of 2011020100011 in words is "two trillion, eleven billion, twenty million, one hundred thousand, eleven".