10200201023200 has 72 divisors (see below), whose sum is σ = 24904301257080. Its totient is φ = 4079578944000.

The previous prime is 10200201023197. The next prime is 10200201023203. The reversal of 10200201023200 is 232010200201.

It is an interprime number because it is at equal distance from previous prime (10200201023197) and next prime (10200201023203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200201023203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5763750 + ... + 7322650.

It is an arithmetic number, because the mean of its divisors is an integer number (345893073015).

Almost surely, 2^{10200201023200} is an apocalyptic number.

10200201023200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200201023200 is an abundant number, since it is smaller than the sum of its proper divisors (14704100233880).

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

10200201023200 is a wasteful number, since it uses less digits than its factorization.

10200201023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567100 (or 1567087 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10200201023200 its reverse (232010200201), we get a palindrome (10432211223401).

The spelling of 10200201023200 in words is "ten trillion, two hundred billion, two hundred one million, twenty-three thousand, two hundred".