2121012211120 has 80 divisors (see below), whose sum is σ = 5402167810560. Its totient is φ = 768049990400.

The previous prime is 2121012211081. The next prime is 2121012211121. The reversal of 2121012211120 is 211122101212.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 2121012211094 and 2121012211103.

It is not an unprimeable number, because it can be changed into a prime (2121012211121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4832026 + ... + 5252665.

It is an arithmetic number, because the mean of its divisors is an integer number (67527097632).

Almost surely, 2^{2121012211120} is an apocalyptic number.

2121012211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121012211120 is an abundant number, since it is smaller than the sum of its proper divisors (3281155599440).

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

2121012211120 is a wasteful number, since it uses less digits than its factorization.

2121012211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10084954 (or 10084948 counting only the distinct ones).

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

Adding to 2121012211120 its reverse (211122101212), we get a palindrome (2332134312332).

The spelling of 2121012211120 in words is "two trillion, one hundred twenty-one billion, twelve million, two hundred eleven thousand, one hundred twenty".