2211121102120 has 128 divisors (see below), whose sum is σ = 5779994342400. Its totient is φ = 745535923200.

The previous prime is 2211121102051. The next prime is 2211121102121. The reversal of 2211121102120 is 212011211122.

It is a junction number, because it is equal to n+sod(n) for n = 2211121102094 and 2211121102103.

It is not an unprimeable number, because it can be changed into a prime (2211121102121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152705041 + ... + 152719519.

It is an arithmetic number, because the mean of its divisors is an integer number (45156205800).

Almost surely, 2^{2211121102120} is an apocalyptic number.

2211121102120 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 2211121102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889997171200).

2211121102120 is an abundant number, since it is smaller than the sum of its proper divisors (3568873240280).

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

2211121102120 is a wasteful number, since it uses less digits than its factorization.

2211121102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23499 (or 23495 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2211121102120 its reverse (212011211122), we get a palindrome (2423132313242).

The spelling of 2211121102120 in words is "two trillion, two hundred eleven billion, one hundred twenty-one million, one hundred two thousand, one hundred twenty".