2102012221120 has 112 divisors (see below), whose sum is σ = 5761631473920. Its totient is φ = 715504978944.

The previous prime is 2102012221013. The next prime is 2102012221151. The reversal of 2102012221120 is 211222102012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2102012221094 and 2102012221103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3064174 + ... + 3686893.

It is an arithmetic number, because the mean of its divisors is an integer number (51443138160).

Almost surely, 2^{2102012221120} is an apocalyptic number.

2102012221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102012221120 is an abundant number, since it is smaller than the sum of its proper divisors (3659619252800).

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

2102012221120 is a wasteful number, since it uses less digits than its factorization.

2102012221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6751230 (or 6751220 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2102012221120 its reverse (211222102012), we get a palindrome (2313234323132).

The spelling of 2102012221120 in words is "two trillion, one hundred two billion, twelve million, two hundred twenty-one thousand, one hundred twenty".