2202101112120 has 256 divisors, whose sum is σ = 8137586903040. Its totient is φ = 464233310208.

The previous prime is 2202101112077. The next prime is 2202101112131. The reversal of 2202101112120 is 212111012022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2202101112120.

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, 13162837 + ... + 13329083.

It is an arithmetic number, because the mean of its divisors is an integer number (31787448840).

Almost surely, 2^{2202101112120} is an apocalyptic number.

2202101112120 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 2202101112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4068793451520).

2202101112120 is an abundant number, since it is smaller than the sum of its proper divisors (5935485790920).

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

2202101112120 is a wasteful number, since it uses less digits than its factorization.

2202101112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167494 (or 167490 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2202101112120 its reverse (212111012022), we get a palindrome (2414212124142).

The spelling of 2202101112120 in words is "two trillion, two hundred two billion, one hundred one million, one hundred twelve thousand, one hundred twenty".