2011200022100 has 72 divisors (see below), whose sum is σ = 4529316355200. Its totient is φ = 774241417600.

The previous prime is 2011200022081. The next prime is 2011200022109. The reversal of 2011200022100 is 12200021102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011200022109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213080 + ... + 2016879.

It is an arithmetic number, because the mean of its divisors is an integer number (62907171600).

Almost surely, 2^{2011200022100} is an apocalyptic number.

2011200022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011200022100 is an abundant number, since it is smaller than the sum of its proper divisors (2518116333100).

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

2011200022100 is a wasteful number, since it uses less digits than its factorization.

2011200022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2230313 (or 2230306 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2011200022100 its reverse (12200021102), we get a palindrome (2023400043202).

The spelling of 2011200022100 in words is "two trillion, eleven billion, two hundred million, twenty-two thousand, one hundred".