2021012221200 has 240 divisors, whose sum is σ = 7403466135936. Its totient is φ = 461656166400.

The previous prime is 2021012221183. The next prime is 2021012221201. The reversal of 2021012221200 is 21222101202.

It is a tau number, because it is divible by the number of its divisors (240).

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 2021012221200.

It is not an unprimeable number, because it can be changed into a prime (2021012221201) 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, 13474620 + ... + 13623780.

Almost surely, 2^{2021012221200} is an apocalyptic number.

2021012221200 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 2021012221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3701733067968).

2021012221200 is an abundant number, since it is smaller than the sum of its proper divisors (5382453914736).

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

2021012221200 is a wasteful number, since it uses less digits than its factorization.

2021012221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150802 (or 150791 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2021012221200 its reverse (21222101202), we get a palindrome (2042234322402).

It can be divided in two parts, 202101 and 2221200, that added together give a triangular number (2423301 = T₂₂₀₁).

The spelling of 2021012221200 in words is "two trillion, twenty-one billion, twelve million, two hundred twenty-one thousand, two hundred".