10202100100 has 18 divisors (see below), whose sum is σ = 22138557434. Its totient is φ = 4080840000.

The previous prime is 10202100079. The next prime is 10202100101. The reversal of 10202100100 is 100120201.

It can be written as a sum of positive squares in 3 ways, for example, as 418120704 + 9783979396 = 20448^2 + 98914^2 .

It is not an unprimeable number, because it can be changed into a prime (10202100101) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 51010401 + ... + 51010600.

Almost surely, 2^10202100100 is an apocalyptic number.

10202100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202100100 is an abundant number, since it is smaller than the sum of its proper divisors (11936457334).

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

10202100100 is a wasteful number, since it uses less digits than its factorization.

10202100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102021015 (or 102021008 counting only the distinct ones).

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

Adding to 10202100100 its reverse (100120201), we get a palindrome (10302220301).

The spelling of 10202100100 in words is "ten billion, two hundred two million, one hundred thousand, one hundred".