100100110000010 has 16 divisors (see below), whose sum is σ = 180865293814656. Its totient is φ = 39887800485648.

The previous prime is 100100109999991. The next prime is 100100110000049. The reversal of 100100110000010 is 10000011001001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100100109999949 and 100100110000003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19030436534 + ... + 19030441793.

It is an arithmetic number, because the mean of its divisors is an integer number (11304080863416).

Almost surely, 2^{100100110000010} is an apocalyptic number.

100100110000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100100110000010 is a deficient number, since it is larger than the sum of its proper divisors (80765183814646).

100100110000010 is a wasteful number, since it uses less digits than its factorization.

100100110000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38060878597.

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

Adding to 100100110000010 its reverse (10000011001001), we get a palindrome (110100121001011).

The spelling of 100100110000010 in words is "one hundred trillion, one hundred billion, one hundred ten million, ten", and thus it is an aban number.