2011100001020 has 96 divisors (see below), whose sum is σ = 4878967504320. Its totient is φ = 688191344640.

The previous prime is 2011100000993. The next prime is 2011100001061. The reversal of 2011100001020 is 201000011102.

It is a junction number, because it is equal to n+sod(n) for n = 2011100000989 and 2011100001007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28647002 + ... + 28717118.

It is an arithmetic number, because the mean of its divisors is an integer number (50822578170).

Almost surely, 2^{2011100001020} is an apocalyptic number.

2011100001020 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 2011100001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439483752160).

2011100001020 is an abundant number, since it is smaller than the sum of its proper divisors (2867867503300).

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

2011100001020 is a wasteful number, since it uses less digits than its factorization.

2011100001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77823 (or 77821 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2011100001020 its reverse (201000011102), we get a palindrome (2212100012122).

The spelling of 2011100001020 in words is "two trillion, eleven billion, one hundred million, one thousand, twenty".