10202100120010 has 16 divisors (see below), whose sum is σ = 18389681188200. Its totient is φ = 4075084276416.

The previous prime is 10202100119989. The next prime is 10202100120013. The reversal of 10202100120010 is 1002100120201.

It can be written as a sum of positive squares in 4 ways, for example, as 8871337153441 + 1330762966569 = 2978479^2 + 1153587^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10202100120013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 719464005 + ... + 719478184.

Almost surely, 2^{10202100120010} is an apocalyptic number.

10202100120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10202100120010 is a deficient number, since it is larger than the sum of its proper divisors (8187581068190).

10202100120010 is a wasteful number, since it uses less digits than its factorization.

10202100120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438942905.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10202100120010 its reverse (1002100120201), we get a palindrome (11204200240211).

The spelling of 10202100120010 in words is "ten trillion, two hundred two billion, one hundred million, one hundred twenty thousand, ten".