10010102013200 has 60 divisors (see below), whose sum is σ = 24050471255028. Its totient is φ = 4003840819200.

The previous prime is 10010102013133. The next prime is 10010102013209. The reversal of 10010102013200 is 231020101001.

It can be written as a sum of positive squares in 6 ways, for example, as 1562290007056 + 8447812006144 = 1249916^2 + 2906512^2 .

It is not an unprimeable number, because it can be changed into a prime (10010102013209) 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, 7526420 + ... + 8755980.

Almost surely, 2^{10010102013200} is an apocalyptic number.

10010102013200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010102013200 is an abundant number, since it is smaller than the sum of its proper divisors (14040369241828).

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

10010102013200 is a wasteful number, since it uses less digits than its factorization.

10010102013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249932 (or 1249921 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10010102013200 its reverse (231020101001), we get a palindrome (10241122114201).

The spelling of 10010102013200 in words is "ten trillion, ten billion, one hundred two million, thirteen thousand, two hundred".