10100200010 has 32 divisors (see below), whose sum is σ = 18296630352. Its totient is φ = 4014282240.

The previous prime is 10100200003. The next prime is 10100200037. The reversal of 10100200010 is 1000200101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6752073241 + 3348126769 = 82171^2 + 57863^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10100199967 and 10100200003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3461072 + ... + 3463988.

Almost surely, 2^10100200010 is an apocalyptic number.

10100200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100200010 is a deficient number, since it is larger than the sum of its proper divisors (8196430342).

10100200010 is a wasteful number, since it uses less digits than its factorization.

10100200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5018.

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 10100200010 its reverse (1000200101), we get a palindrome (11100400111).

Subtracting from 10100200010 its reverse (1000200101), we obtain a palindrome (9099999909).

The spelling of 10100200010 in words is "ten billion, one hundred million, two hundred thousand, ten".