2211121010020 has 48 divisors (see below), whose sum is σ = 5094884959920. Its totient is φ = 801009870336.

The previous prime is 2211121010003. The next prime is 2211121010089. The reversal of 2211121010020 is 200101211122.

It can be written as a sum of positive squares in 8 ways, for example, as 81138383104 + 2129982626916 = 284848^2 + 1459446^2 .

It is a super-2 number, since 2×2211121010020² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80215575 + ... + 80243134.

It is an arithmetic number, because the mean of its divisors is an integer number (106143436665).

Almost surely, 2^{2211121010020} is an apocalyptic number.

2211121010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2211121010020 is an abundant number, since it is smaller than the sum of its proper divisors (2883763949900).

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

2211121010020 is a wasteful number, since it uses less digits than its factorization.

2211121010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160458784 (or 160458782 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2211121010020 its reverse (200101211122), we get a palindrome (2411222221142).

The spelling of 2211121010020 in words is "two trillion, two hundred eleven billion, one hundred twenty-one million, ten thousand, twenty".