100100011000010 has 32 divisors (see below), whose sum is σ = 205920367575552. Its totient is φ = 34319946280320.

The previous prime is 100100010999973. The next prime is 100100011000019. The reversal of 100100011000010 is 10000110001001.

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 = 100100010999958 and 100100011000003.

It is not an unprimeable number, because it can be changed into a prime (100100011000019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78480734 + ... + 79746006.

It is an arithmetic number, because the mean of its divisors is an integer number (6435011486736).

Almost surely, 2^{100100011000010} is an apocalyptic number.

100100011000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100100011000010 is an abundant number, since it is smaller than the sum of its proper divisors (105820356575542).

100100011000010 is a wasteful number, since it uses less digits than its factorization.

100100011000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395478.

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

Adding to 100100011000010 its reverse (10000110001001), we get a palindrome (110100121001011).

Subtracting from 100100011000010 its reverse (10000110001001), we obtain a palindrome (90099900999009).

The spelling of 100100011000010 in words is "one hundred trillion, one hundred billion, eleven million, ten", and thus it is an aban number.