2011021221000 has 512 divisors, whose sum is σ = 6971082393600. Its totient is φ = 478558080000.

The previous prime is 2011021220899. The next prime is 2011021221007. The reversal of 2011021221000 is 1221201102.

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

It is not an unprimeable number, because it can be changed into a prime (2011021221007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1729166419 + ... + 1729167581.

It is an arithmetic number, because the mean of its divisors is an integer number (13615395300).

Almost surely, 2^{2011021221000} is an apocalyptic number.

2011021221000 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 2011021221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3485541196800).

2011021221000 is an abundant number, since it is smaller than the sum of its proper divisors (4960061172600).

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

2011021221000 is a wasteful number, since it uses less digits than its factorization.

2011021221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2118 (or 2104 counting only the distinct ones).

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

Adding to 2011021221000 its reverse (1221201102), we get a palindrome (2012242422102).

It can be divided in two parts, 201 and 1021221000, that added together give a palindrome (1021221201).

The spelling of 2011021221000 in words is "two trillion, eleven billion, twenty-one million, two hundred twenty-one thousand".