2011022011100 has 18 divisors (see below), whose sum is σ = 4363917764304. Its totient is φ = 804408804400.

The previous prime is 2011022011091. The next prime is 2011022011109. The reversal of 2011022011100 is 11102201102.

It is an interprime number because it is at equal distance from previous prime (2011022011091) and next prime (2011022011109).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011022011109) 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 5 ways as a sum of consecutive naturals, for example, 10055109956 + ... + 10055110155.

Almost surely, 2^{2011022011100} is an apocalyptic number.

2011022011100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011022011100 is an abundant number, since it is smaller than the sum of its proper divisors (2352895753204).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2011022011100 is a wasteful number, since it uses less digits than its factorization.

2011022011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20110220125 (or 20110220118 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2011022011100 its reverse (11102201102), we get a palindrome (2022124212202).

The spelling of 2011022011100 in words is "two trillion, eleven billion, twenty-two million, eleven thousand, one hundred".