2010211201020 has 384 divisors, whose sum is σ = 6440065615872. Its totient is φ = 464187801600.

The previous prime is 2010211200997. The next prime is 2010211201091. The reversal of 2010211201020 is 201021120102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2010211200987 and 2010211201005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 244220305 + ... + 244228535.

It is an arithmetic number, because the mean of its divisors is an integer number (16771004208).

Almost surely, 2^{2010211201020} is an apocalyptic number.

2010211201020 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 2010211201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3220032807936).

2010211201020 is an abundant number, since it is smaller than the sum of its proper divisors (4429854414852).

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

2010211201020 is a wasteful number, since it uses less digits than its factorization.

2010211201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8501 (or 8499 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2010211201020 its reverse (201021120102), we get a palindrome (2211232321122).

It can be divided in two parts, 201021 and 1201020, that added together give a palindrome (1402041).

The spelling of 2010211201020 in words is "two trillion, ten billion, two hundred eleven million, two hundred one thousand, twenty".