2011010110020 has 72 divisors (see below), whose sum is σ = 6104339527104. Its totient is φ = 535893492288.

The previous prime is 2011010110007. The next prime is 2011010110037. The reversal of 2011010110020 is 200110101102.

It is a happy number.

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 = 2011010109984 and 2011010110011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3657744 + ... + 4171463.

It is an arithmetic number, because the mean of its divisors is an integer number (84782493432).

Almost surely, 2^{2011010110020} is an apocalyptic number.

2011010110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011010110020 is an abundant number, since it is smaller than the sum of its proper divisors (4093329417084).

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

2011010110020 is a wasteful number, since it uses less digits than its factorization.

2011010110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7830649 (or 7830644 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2011010110020 its reverse (200110101102), we get a palindrome (2211120211122).

The spelling of 2011010110020 in words is "two trillion, eleven billion, ten million, one hundred ten thousand, twenty".