2002101221120 has 576 divisors, whose sum is σ = 6777898767360. Its totient is φ = 545705164800.

The previous prime is 2002101221119. The next prime is 2002101221203. The reversal of 2002101221120 is 211221012002.

It is a super-2 number, since 2×2002101221120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2002101221095 and 2002101221104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24303200 + ... + 24385440.

It is an arithmetic number, because the mean of its divisors is an integer number (11767185360).

Almost surely, 2^{2002101221120} is an apocalyptic number.

2002101221120 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 2002101221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3388949383680).

2002101221120 is an abundant number, since it is smaller than the sum of its proper divisors (4775797546240).

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

2002101221120 is a wasteful number, since it uses less digits than its factorization.

2002101221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82312 (or 82298 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2002101221120 its reverse (211221012002), we get a palindrome (2213322233122).

The spelling of 2002101221120 in words is "two trillion, two billion, one hundred one million, two hundred twenty-one thousand, one hundred twenty".