10000100010 has 32 divisors (see below), whose sum is σ = 24042313152. Its totient is φ = 2662018560.

The previous prime is 10000100003. The next prime is 10000100023. The reversal of 10000100010 is 1000100001.

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.

10000100010 is a modest number, since divided by 100010 gives 100 as remainder.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10000099968 and 10000100004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274759 + ... + 309018.

It is an arithmetic number, because the mean of its divisors is an integer number (751322286).

Almost surely, 2^10000100010 is an apocalyptic number.

10000100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10000100010 is an abundant number, since it is smaller than the sum of its proper divisors (14042213142).

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

10000100010 is a wasteful number, since it uses less digits than its factorization.

10000100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584358.

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

Adding to 10000100010 its reverse (1000100001), we get a palindrome (11000200011).

Subtracting from 10000100010 its reverse (1000100001), we obtain a palindrome (9000000009).

The spelling of 10000100010 in words is "ten billion, one hundred thousand, ten".