100001100100010 has 128 divisors (see below), whose sum is σ = 191192553750528. Its totient is φ = 37598631840000.

The previous prime is 100001100100009. The next prime is 100001100100019. The reversal of 100001100100010 is 10001001100001.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100001100099967 and 100001100100003.

It is not an unprimeable number, because it can be changed into a prime (100001100100019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10100096060 + ... + 10100105960.

It is an arithmetic number, because the mean of its divisors is an integer number (1493691826176).

Almost surely, 2^{100001100100010} is an apocalyptic number.

100001100100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100001100100010 is a deficient number, since it is larger than the sum of its proper divisors (91191453650518).

100001100100010 is a wasteful number, since it uses less digits than its factorization.

100001100100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14140.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100001100100010 its reverse (10001001100001), we get a palindrome (110002101200011).

Subtracting from 100001100100010 its reverse (10001001100001), we obtain a palindrome (90000099000009).

The spelling of 100001100100010 in words is "one hundred trillion, one billion, one hundred million, one hundred thousand, ten".