10234353142200 has 96 divisors (see below), whose sum is σ = 34610721557760. Its totient is φ = 2481055305600.

The previous prime is 10234353142133. The next prime is 10234353142219. The reversal of 10234353142200 is 224135343201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 775323184 + ... + 775336383.

It is an arithmetic number, because the mean of its divisors is an integer number (360528349560).

Almost surely, 2^{10234353142200} is an apocalyptic number.

10234353142200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10234353142200 is an abundant number, since it is smaller than the sum of its proper divisors (24376368415560).

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

10234353142200 is a wasteful number, since it uses less digits than its factorization.

10234353142200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550659597 (or 1550659588 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 10234353142200 its reverse (224135343201), we get a palindrome (10458488485401).

The spelling of 10234353142200 in words is "ten trillion, two hundred thirty-four billion, three hundred fifty-three million, one hundred forty-two thousand, two hundred".