2121202221120 has 336 divisors, whose sum is σ = 7517453868288. Its totient is φ = 548587745280.

The previous prime is 2121202221113. The next prime is 2121202221163. The reversal of 2121202221120 is 211222021212.

It is a happy number.

2121202221120 is a `hidden beast` number, since 2 + 121 + 202 + 221 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2121202221093 and 2121202221102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33108157 + ... + 33172163.

It is an arithmetic number, because the mean of its divisors is an integer number (22373374608).

Almost surely, 2^{2121202221120} is an apocalyptic number.

2121202221120 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 2121202221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3758726934144).

2121202221120 is an abundant number, since it is smaller than the sum of its proper divisors (5396251647168).

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

2121202221120 is a wasteful number, since it uses less digits than its factorization.

2121202221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64378 (or 64365 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2121202221120 its reverse (211222021212), we get a palindrome (2332424242332).

The spelling of 2121202221120 in words is "two trillion, one hundred twenty-one billion, two hundred two million, two hundred twenty-one thousand, one hundred twenty".