2011010100020 has 72 divisors (see below), whose sum is σ = 4430662459944. Its totient is φ = 766651108608.

The previous prime is 2011010100007. The next prime is 2011010100041. The reversal of 2011010100020 is 200010101102.

It can be written as a sum of positive squares in 4 ways, for example, as 108387125284 + 1902622974736 = 329222^2 + 1379356^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2011010099980 and 2011010100007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2587562 + ... + 3273758.

Almost surely, 2^{2011010100020} is an apocalyptic number.

2011010100020 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 2011010100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2215331229972).

2011010100020 is an abundant number, since it is smaller than the sum of its proper divisors (2419652359924).

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

2011010100020 is a wasteful number, since it uses less digits than its factorization.

2011010100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686529 (or 686504 counting only the distinct ones).

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

Adding to 2011010100020 its reverse (200010101102), we get a palindrome (2211020201122).

The spelling of 2011010100020 in words is "two trillion, eleven billion, ten million, one hundred thousand, twenty".