2011020022011 has 96 divisors (see below), whose sum is σ = 3670005217536. Its totient is φ = 962859744000.

The previous prime is 2011020021937. The next prime is 2011020022061. The reversal of 2011020022011 is 1102200201102.

It is not a de Polignac number, because 2011020022011 - 2²² = 2011015827707 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2011020022061) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13822516 + ... + 13967246.

It is an arithmetic number, because the mean of its divisors is an integer number (38229221016).

Almost surely, 2^{2011020022011} is an apocalyptic number.

2011020022011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2011020022011 is a deficient number, since it is larger than the sum of its proper divisors (1658985195525).

2011020022011 is a wasteful number, since it uses less digits than its factorization.

2011020022011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145433 (or 145426 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2011020022011 its reverse (1102200201102), we get a palindrome (3113220223113).

The spelling of 2011020022011 in words is "two trillion, eleven billion, twenty million, twenty-two thousand, eleven".