2011201100020 has 192 divisors, whose sum is σ = 5128019559936. Its totient is φ = 646812794880.

The previous prime is 2011201100017. The next prime is 2011201100021. The reversal of 2011201100020 is 200011021102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011201100021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1347086394 + ... + 1347087886.

It is an arithmetic number, because the mean of its divisors is an integer number (26708435208).

Almost surely, 2^{2011201100020} is an apocalyptic number.

2011201100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011201100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564009779968).

2011201100020 is an abundant number, since it is smaller than the sum of its proper divisors (3116818459916).

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

2011201100020 is a wasteful number, since it uses less digits than its factorization.

2011201100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3050 (or 3048 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2011201100020 its reverse (200011021102), we get a palindrome (2211212121122).

The spelling of 2011201100020 in words is "two trillion, eleven billion, two hundred one million, one hundred thousand, twenty".