2021012221000 has 128 divisors (see below), whose sum is σ = 4862030715360. Its totient is φ = 785836032000.

The previous prime is 2021012220947. The next prime is 2021012221043. The reversal of 2021012221000 is 1222101202.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 1032829103524 + 988183117476 = 1016282^2 + 994074^2 .

It is a super-3 number, since 3×2021012221000³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11268024 + ... + 11445976.

Almost surely, 2^{2021012221000} is an apocalyptic number.

2021012221000 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 2021012221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2431015357680).

2021012221000 is an abundant number, since it is smaller than the sum of its proper divisors (2841018494360).

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

2021012221000 is a wasteful number, since it uses less digits than its factorization.

2021012221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178292 (or 178278 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2021012221000 its reverse (1222101202), we get a palindrome (2022234322202).

The spelling of 2021012221000 in words is "two trillion, twenty-one billion, twelve million, two hundred twenty-one thousand".