10034420120200 has 48 divisors (see below), whose sum is σ = 26662887751680. Its totient is φ = 3440372612160.

The previous prime is 10034420120177. The next prime is 10034420120201. The reversal of 10034420120200 is 202102443001.

It is not an unprimeable number, because it can be changed into a prime (10034420120201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3583720072 + ... + 3583722871.

It is an arithmetic number, because the mean of its divisors is an integer number (555476828160).

Almost surely, 2^{10034420120200} is an apocalyptic number.

10034420120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10034420120200 is an abundant number, since it is smaller than the sum of its proper divisors (16628467631480).

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

10034420120200 is a wasteful number, since it uses less digits than its factorization.

10034420120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7167442966 (or 7167442957 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 10034420120200 its reverse (202102443001), we get a palindrome (10236522563201).

The spelling of 10034420120200 in words is "ten trillion, thirty-four billion, four hundred twenty million, one hundred twenty thousand, two hundred".