2011010201020 has 48 divisors (see below), whose sum is σ = 4284907941888. Its totient is φ = 792713944640.

The previous prime is 2011010201003. The next prime is 2011010201029. The reversal of 2011010201020 is 201020101102.

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

It is a junction number, because it is equal to n+sod(n) for n = 2011010200988 and 2011010201006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011010201029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2051272 + ... + 2868751.

It is an arithmetic number, because the mean of its divisors is an integer number (89268915456).

Almost surely, 2^{2011010201020} is an apocalyptic number.

2011010201020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011010201020 is an abundant number, since it is smaller than the sum of its proper divisors (2273897740868).

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

2011010201020 is a wasteful number, since it uses less digits than its factorization.

2011010201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4920330 (or 4920328 counting only the distinct ones).

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

Adding to 2011010201020 its reverse (201020101102), we get a palindrome (2212030302122).

The spelling of 2011010201020 in words is "two trillion, eleven billion, ten million, two hundred one thousand, twenty".