1010343142200 has 576 divisors, whose sum is σ = 3733871731200. Its totient is φ = 225339206400.

The previous prime is 1010343142189. The next prime is 1010343142201. The reversal of 1010343142200 is 22413430101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010343142201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3052396035 + ... + 3052396365.

It is an arithmetic number, because the mean of its divisors is an integer number (6482416200).

Almost surely, 2^{1010343142200} is an apocalyptic number.

1010343142200 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 1010343142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866935865600).

1010343142200 is an abundant number, since it is smaller than the sum of its proper divisors (2723528589000).

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

1010343142200 is an equidigital number, since it uses as much as digits as its factorization.

1010343142200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1010343142200 its reverse (22413430101), we get a palindrome (1032756572301).

The spelling of 1010343142200 in words is "one trillion, ten billion, three hundred forty-three million, one hundred forty-two thousand, two hundred".