1020200221200 has 240 divisors, whose sum is σ = 3328605705600. Its totient is φ = 267045273600.

The previous prime is 1020200221171. The next prime is 1020200221231. The reversal of 1020200221200 is 21220020201.

1020200221200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19484656 + ... + 19536944.

It is an arithmetic number, because the mean of its divisors is an integer number (13869190440).

Almost surely, 2^{1020200221200} is an apocalyptic number.

1020200221200 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 1020200221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664302852800).

1020200221200 is an abundant number, since it is smaller than the sum of its proper divisors (2308405484400).

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

1020200221200 is a wasteful number, since it uses less digits than its factorization.

1020200221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52610 (or 52599 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1020200221200 its reverse (21220020201), we get a palindrome (1041420241401).

The spelling of 1020200221200 in words is "one trillion, twenty billion, two hundred million, two hundred twenty-one thousand, two hundred".