1010034304200 has 288 divisors, whose sum is σ = 3592951464960. Its totient is φ = 253400832000.

The previous prime is 1010034304171. The next prime is 1010034304231. The reversal of 1010034304200 is 24034300101.

1010034304200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 110369625 + ... + 110378775.

It is an arithmetic number, because the mean of its divisors is an integer number (12475525920).

Almost surely, 2^{1010034304200} is an apocalyptic number.

1010034304200 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 1010034304200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796475732480).

1010034304200 is an abundant number, since it is smaller than the sum of its proper divisors (2582917160760).

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

1010034304200 is a wasteful number, since it uses less digits than its factorization.

1010034304200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12797 (or 12785 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1010034304200 its reverse (24034300101), we get a palindrome (1034068604301).

The spelling of 1010034304200 in words is "one trillion, ten billion, thirty-four million, three hundred four thousand, two hundred".