1010301111200 has 36 divisors (see below), whose sum is σ = 2466397589670. Its totient is φ = 404120444160.

The previous prime is 1010301111161. The next prime is 1010301111203. The reversal of 1010301111200 is 21111030101.

It is a happy number.

1010301111200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 854715042064 + 155586069136 = 924508^2 + 394444^2 .

It is not an unprimeable number, because it can be changed into a prime (1010301111203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 631437395 + ... + 631438994.

Almost surely, 2^{1010301111200} is an apocalyptic number.

1010301111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010301111200 is an abundant number, since it is smaller than the sum of its proper divisors (1456096478470).

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

1010301111200 is a wasteful number, since it uses less digits than its factorization.

1010301111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262876409 (or 1262876396 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 1010301111200 its reverse (21111030101), we get a palindrome (1031412141301).

The spelling of 1010301111200 in words is "one trillion, ten billion, three hundred one million, one hundred eleven thousand, two hundred".