10100111110002 has 48 divisors (see below), whose sum is σ = 22477306669272. Its totient is φ = 3275378726400.

The previous prime is 10100111109989. The next prime is 10100111110007. The reversal of 10100111110002 is 20001111100101.

It can be written as a sum of positive squares in 4 ways, for example, as 9895925516841 + 204185593161 = 3145779^2 + 451869^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10100111110007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5828218 + ... + 7359914.

Almost surely, 2^{10100111110002} is an apocalyptic number.

10100111110002 is an abundant number, since it is smaller than the sum of its proper divisors (12377195559270).

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

10100111110002 is a wasteful number, since it uses less digits than its factorization.

10100111110002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541643 (or 1541640 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10100111110002 its reverse (20001111100101), we get a palindrome (30101222210103).

Subtracting 10100111110002 from its reverse (20001111100101), we obtain a palindrome (9900999990099).

The spelling of 10100111110002 in words is "ten trillion, one hundred billion, one hundred eleven million, one hundred ten thousand, two".