1020221101200 has 360 divisors, whose sum is σ = 3805590444480. Its totient is φ = 232953369600.

The previous prime is 1020221101199. The next prime is 1020221101223. The reversal of 1020221101200 is 21011220201.

It is a super-3 number, since 3×1020221101200³ (a number of 37 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60614386 + ... + 60631214.

It is an arithmetic number, because the mean of its divisors is an integer number (10571084568).

Almost surely, 2^{1020221101200} is an apocalyptic number.

1020221101200 is a gapful number since it is divisible by the number (10) 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 1020221101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902795222240).

1020221101200 is an abundant number, since it is smaller than the sum of its proper divisors (2785369343280).

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

1020221101200 is a wasteful number, since it uses less digits than its factorization.

1020221101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17895 (or 17877 counting only the distinct ones).

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

Adding to 1020221101200 its reverse (21011220201), we get a palindrome (1041232321401).

The spelling of 1020221101200 in words is "one trillion, twenty billion, two hundred twenty-one million, one hundred one thousand, two hundred".