10100100100 has 18 divisors (see below), whose sum is σ = 21917217434. Its totient is φ = 4040040000.

The previous prime is 10100100079. The next prime is 10100100133. The reversal of 10100100100 is 100100101.

It can be written as a sum of positive squares in 3 ways, for example, as 1244537284 + 8855562816 = 35278^2 + 94104^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

10100100100 is a modest number, since divided by 100100 gives 10100 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 10100100100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50500401 + ... + 50500600.

Almost surely, 2^10100100100 is an apocalyptic number.

10100100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100100100 is an abundant number, since it is smaller than the sum of its proper divisors (11817117334).

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

10100100100 is a wasteful number, since it uses less digits than its factorization.

10100100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101001015 (or 101001008 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 10100100100 its reverse (100100101), we get a palindrome (10200200201).

Subtracting from 10100100100 its reverse (100100101), we obtain a palindrome (9999999999).

The spelling of 10100100100 in words is "ten billion, one hundred million, one hundred thousand, one hundred".