10000010100 has 72 divisors (see below), whose sum is σ = 29106762048. Its totient is φ = 2650688000.

The previous prime is 10000010089. The next prime is 10000010117. The reversal of 10000010100 is 101000001.

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

10000010100 is a modest number, since divided by 10100 gives 100 as remainder.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 49701 + ... + 149900.

It is an arithmetic number, because the mean of its divisors is an integer number (404260584).

Almost surely, 2^10000010100 is an apocalyptic number.

10000010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000010100 is an abundant number, since it is smaller than the sum of its proper divisors (19106751948).

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

10000010100 is a wasteful number, since it uses less digits than its factorization.

10000010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199785 (or 199778 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 3.

Adding to 10000010100 its reverse (101000001), we get a palindrome (10101010101).

The spelling of 10000010100 in words is "ten billion, ten thousand, one hundred".