2011010020020 has 108 divisors (see below), whose sum is σ = 6479998660044. Its totient is φ = 504724070400.

The previous prime is 2011010020013. The next prime is 2011010020069. The reversal of 2011010020020 is 200200101102.

It can be written as a sum of positive squares in 6 ways, for example, as 14746216356 + 1996263803664 = 121434^2 + 1412892^2 .

It is a super-2 number, since 2×2011010020020² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2011010019984 and 2011010020011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19277181 + ... + 19381220.

It is an arithmetic number, because the mean of its divisors is an integer number (59999987593).

Almost surely, 2^{2011010020020} is an apocalyptic number.

2011010020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011010020020 is an abundant number, since it is smaller than the sum of its proper divisors (4468988640024).

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

2011010020020 is a wasteful number, since it uses less digits than its factorization.

2011010020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38658450 (or 38658428 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2011010020020 its reverse (200200101102), we get a palindrome (2211210121122).

The spelling of 2011010020020 in words is "two trillion, eleven billion, ten million, twenty thousand, twenty".