10020120100 has 18 divisors (see below), whose sum is σ = 21743660834. Its totient is φ = 4008048000.

The previous prime is 10020120053. The next prime is 10020120119. The reversal of 10020120100 is 102102001.

10020120100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2836201536 + 7183918564 = 53256^2 + 84758^2 .

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 5 ways as a sum of consecutive naturals, for example, 50100501 + ... + 50100700.

Almost surely, 2^10020120100 is an apocalyptic number.

10020120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020120100 is an abundant number, since it is smaller than the sum of its proper divisors (11723540734).

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

10020120100 is a wasteful number, since it uses less digits than its factorization.

10020120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100201215 (or 100201208 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10020120100 its reverse (102102001), we get a palindrome (10122222101).

The spelling of 10020120100 in words is "ten billion, twenty million, one hundred twenty thousand, one hundred".