2211012012020 has 144 divisors (see below), whose sum is σ = 5394732295680. Its totient is φ = 745637918208.

The previous prime is 2211012011987. The next prime is 2211012012037. The reversal of 2211012012020 is 202102101122.

2211012012020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2211012011986 and 2211012012004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224714261 + ... + 224724099.

It is an arithmetic number, because the mean of its divisors is an integer number (37463418720).

Almost surely, 2^{2211012012020} is an apocalyptic number.

2211012012020 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 2211012012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2697366147840).

2211012012020 is an abundant number, since it is smaller than the sum of its proper divisors (3183720283660).

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

2211012012020 is a wasteful number, since it uses less digits than its factorization.

2211012012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10254 (or 10169 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2211012012020 its reverse (202102101122), we get a palindrome (2413114113142).

The spelling of 2211012012020 in words is "two trillion, two hundred eleven billion, twelve million, twelve thousand, twenty".