1010314220200 has 192 divisors, whose sum is σ = 2418547546800. Its totient is φ = 392358297600.

The previous prime is 1010314220171. The next prime is 1010314220203. The reversal of 1010314220200 is 20224130101.

It can be written as a sum of positive squares in 24 ways, for example, as 220879044 + 1010093341156 = 14862^2 + 1005034^2 .

It is not an unprimeable number, because it can be changed into a prime (1010314220203) 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, 389630104 + ... + 389632696.

Almost surely, 2^{1010314220200} is an apocalyptic number.

1010314220200 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 1010314220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209273773400).

1010314220200 is an abundant number, since it is smaller than the sum of its proper divisors (1408233326600).

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

1010314220200 is a wasteful number, since it uses less digits than its factorization.

1010314220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3072 (or 3063 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1010314220200 its reverse (20224130101), we get a palindrome (1030538350301).

Subtracting from 1010314220200 its reverse (20224130101), we obtain a palindrome (990090090099).

The spelling of 1010314220200 in words is "one trillion, ten billion, three hundred fourteen million, two hundred twenty thousand, two hundred".