10202012123200 has 42 divisors (see below), whose sum is σ = 25103326084586. Its totient is φ = 4080804848640.

The previous prime is 10202012123197. The next prime is 10202012123207. The reversal of 10202012123200 is 232121020201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2828962530304 + 7373049592896 = 1681952^2 + 2715336^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10202012123207) 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 5 ways as a sum of consecutive naturals, for example, 3188127189 + ... + 3188130388.

Almost surely, 2^{10202012123200} is an apocalyptic number.

10202012123200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202012123200 is an abundant number, since it is smaller than the sum of its proper divisors (14901313961386).

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

10202012123200 is an equidigital number, since it uses as much as digits as its factorization.

10202012123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6376257599 (or 6376257584 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10202012123200 its reverse (232121020201), we get a palindrome (10434133143401).

The spelling of 10202012123200 in words is "ten trillion, two hundred two billion, twelve million, one hundred twenty-three thousand, two hundred".