2201120011020 has 144 divisors (see below), whose sum is σ = 7196639143680. Its totient is φ = 492408402816.

The previous prime is 2201120011009. The next prime is 2201120011031. The reversal of 2201120011020 is 201100211022.

It is an interprime number because it is at equal distance from previous prime (2201120011009) and next prime (2201120011031).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2201120010987 and 2201120011005.

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, 258450 + ... + 2114009.

It is an arithmetic number, because the mean of its divisors is an integer number (49976660720).

Almost surely, 2^{2201120011020} is an apocalyptic number.

2201120011020 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 2201120011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3598319571840).

2201120011020 is an abundant number, since it is smaller than the sum of its proper divisors (4995519132660).

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

2201120011020 is a wasteful number, since it uses less digits than its factorization.

2201120011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2372572 (or 2372523 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2201120011020 its reverse (201100211022), we get a palindrome (2402220222042).

The spelling of 2201120011020 in words is "two trillion, two hundred one billion, one hundred twenty million, eleven thousand, twenty".