2202101021120 has 448 divisors, whose sum is σ = 7048048896000. Its totient is φ = 632898109440.

The previous prime is 2202101021093. The next prime is 2202101021177. The reversal of 2202101021120 is 211201012022.

It is a tau number, because it is divible by the number of its divisors (448).

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 = 2202101021095 and 2202101021104.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 355231781 + ... + 355237979.

It is an arithmetic number, because the mean of its divisors is an integer number (15732252000).

Almost surely, 2^{2202101021120} is an apocalyptic number.

2202101021120 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 2202101021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3524024448000).

2202101021120 is an abundant number, since it is smaller than the sum of its proper divisors (4845947874880).

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

2202101021120 is a wasteful number, since it uses less digits than its factorization.

2202101021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7356 (or 7346 counting only the distinct ones).

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

Adding to 2202101021120 its reverse (211201012022), we get a palindrome (2413302033142).

The spelling of 2202101021120 in words is "two trillion, two hundred two billion, one hundred one million, twenty-one thousand, one hundred twenty".