1013221112200 has 288 divisors, whose sum is σ = 2626806014280. Its totient is φ = 363151360000.

The previous prime is 1013221112177. The next prime is 1013221112201. The reversal of 1013221112200 is 22111223101.

It can be written as a sum of positive squares in 12 ways, for example, as 658055174436 + 355165937764 = 811206^2 + 595958^2 .

It is not an unprimeable number, because it can be changed into a prime (1013221112201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 628158594 + ... + 628160206.

Almost surely, 2^{1013221112200} is an apocalyptic number.

1013221112200 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 1013221112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313403007140).

1013221112200 is an abundant number, since it is smaller than the sum of its proper divisors (1613584902080).

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

1013221112200 is a wasteful number, since it uses less digits than its factorization.

1013221112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2009 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1013221112200 its reverse (22111223101), we get a palindrome (1035332335301).

The spelling of 1013221112200 in words is "one trillion, thirteen billion, two hundred twenty-one million, one hundred twelve thousand, two hundred".