10200123133010 has 16 divisors (see below), whose sum is σ = 18566516266200. Its totient is φ = 4034206002816.

The previous prime is 10200123132961. The next prime is 10200123133037. The reversal of 10200123133010 is 1033132100201.

10200123133010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4470615470689 + 5729507662321 = 2114383^2 + 2393639^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10200123133010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5730405365 + ... + 5730407144.

Almost surely, 2^{10200123133010} is an apocalyptic number.

10200123133010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10200123133010 is a deficient number, since it is larger than the sum of its proper divisors (8366393133190).

10200123133010 is a wasteful number, since it uses less digits than its factorization.

10200123133010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11460812605.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 10200123133010 its reverse (1033132100201), we get a palindrome (11233255233211).

The spelling of 10200123133010 in words is "ten trillion, two hundred billion, one hundred twenty-three million, one hundred thirty-three thousand, ten".