10010010100 has 36 divisors (see below), whose sum is σ = 21746569068. Its totient is φ = 3999424000.

The previous prime is 10010010089. The next prime is 10010010107. The reversal of 10010010100 is 101001001.

It can be written as a sum of positive squares in 6 ways, for example, as 1000963044 + 9009047056 = 31638^2 + 94916^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 10010010100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010010107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31290 + ... + 144910.

It is an arithmetic number, because the mean of its divisors is an integer number (604071363).

Almost surely, 2^10010010100 is an apocalyptic number.

10010010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010010100 is an abundant number, since it is smaller than the sum of its proper divisors (11736558968).

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

10010010100 is a wasteful number, since it uses less digits than its factorization.

10010010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114516 (or 114509 counting only the distinct ones).

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

Adding to 10010010100 its reverse (101001001), we get a palindrome (10111011101).

Subtracting from 10010010100 its reverse (101001001), we obtain a palindrome (9909009099).

The spelling of 10010010100 in words is "ten billion, ten million, ten thousand, one hundred".