2011221002028 has 144 divisors (see below), whose sum is σ = 5617107355104. Its totient is φ = 558209433600.

The previous prime is 2011221001973. The next prime is 2011221002029. The reversal of 2011221002028 is 8202001221102.

It is a super-2 number, since 2×2011221002028² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2011221001995 and 2011221002013.

It is not an unprimeable number, because it can be changed into a prime (2011221002029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2828076 + ... + 3467052.

It is an arithmetic number, because the mean of its divisors is an integer number (39007689966).

Almost surely, 2^{2011221002028} is an apocalyptic number.

2011221002028 is a gapful number since it is divisible by the number (28) 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 2011221002028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2808553677552).

2011221002028 is an abundant number, since it is smaller than the sum of its proper divisors (3605886353076).

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

2011221002028 is a wasteful number, since it uses less digits than its factorization.

2011221002028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639152 (or 639143 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The spelling of 2011221002028 in words is "two trillion, eleven billion, two hundred twenty-one million, two thousand, twenty-eight".