10033114440200 has 48 divisors (see below), whose sum is σ = 23406605514180. Its totient is φ = 3999548668160.

The previous prime is 10033114440191. The next prime is 10033114440221. The reversal of 10033114440200 is 204441133001.

It can be written as a sum of positive squares in 6 ways, for example, as 8854921421284 + 1178193018916 = 2975722^2 + 1085446^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85548179 + ... + 85665378.

Almost surely, 2^{10033114440200} is an apocalyptic number.

10033114440200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10033114440200 is an abundant number, since it is smaller than the sum of its proper divisors (13373491073980).

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

10033114440200 is a wasteful number, since it uses less digits than its factorization.

10033114440200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171213866 (or 171213857 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 10033114440200 its reverse (204441133001), we get a palindrome (10237555573201).

The spelling of 10033114440200 in words is "ten trillion, thirty-three billion, one hundred fourteen million, four hundred forty thousand, two hundred".