2120220211116 has 96 divisors (see below), whose sum is σ = 6132516590592. Its totient is φ = 556237301760.

The previous prime is 2120220211111. The next prime is 2120220211121. The reversal of 2120220211116 is 6111120220212.

It is an interprime number because it is at equal distance from previous prime (2120220211111) and next prime (2120220211121).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2120220211092 and 2120220211101.

It is not an unprimeable number, because it can be changed into a prime (2120220211111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18048136 + ... + 18165231.

It is an arithmetic number, because the mean of its divisors is an integer number (63880381152).

Almost surely, 2^{2120220211116} is an apocalyptic number.

It is an amenable number.

2120220211116 is an abundant number, since it is smaller than the sum of its proper divisors (4012296379476).

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

2120220211116 is a wasteful number, since it uses less digits than its factorization.

2120220211116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36213439 (or 36213437 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 2120220211116 its reverse (6111120220212), we get a palindrome (8231340431328).

The spelling of 2120220211116 in words is "two trillion, one hundred twenty billion, two hundred twenty million, two hundred eleven thousand, one hundred sixteen".