100201120010 has 64 divisors (see below), whose sum is σ = 194705495712. Its totient is φ = 36986167296.

The previous prime is 100201120007. The next prime is 100201120039. The reversal of 100201120010 is 10021102001.

It can be written as a sum of positive squares in 16 ways, for example, as 11389371841 + 88811748169 = 106721^2 + 298013^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100201120010.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 18494822 + ... + 18500238.

Almost surely, 2^100201120010 is an apocalyptic number.

100201120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100201120010 is a deficient number, since it is larger than the sum of its proper divisors (94504375702).

100201120010 is a wasteful number, since it uses less digits than its factorization.

100201120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7547.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100201120010 its reverse (10021102001), we get a palindrome (110222222011).

The spelling of 100201120010 in words is "one hundred billion, two hundred one million, one hundred twenty thousand, ten".