10001110102100 has 432 divisors, whose sum is σ = 25038277041456. Its totient is φ = 3446046720000.

The previous prime is 10001110102099. The next prime is 10001110102133. The reversal of 10001110102100 is 120101110001.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 3348775561156 + 6652334540944 = 1829966^2 + 2579212^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12181619690 + ... + 12181620510.

It is an arithmetic number, because the mean of its divisors is an integer number (57958974633).

Almost surely, 2^{10001110102100} is an apocalyptic number.

10001110102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001110102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12519138520728).

10001110102100 is an abundant number, since it is smaller than the sum of its proper divisors (15037166939356).

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

10001110102100 is a wasteful number, since it uses less digits than its factorization.

10001110102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10001110102100 its reverse (120101110001), we get a palindrome (10121211212101).

The spelling of 10001110102100 in words is "ten trillion, one billion, one hundred ten million, one hundred two thousand, one hundred".