100111200012105 has 32 divisors (see below), whose sum is σ = 166627002268800. Its totient is φ = 51263517161472.

The previous prime is 100111200012077. The next prime is 100111200012121. The reversal of 100111200012105 is 501210002111001.

It is not a de Polignac number, because 100111200012105 - 2¹⁸ = 100111199749961 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 642773224 + ... + 642928953.

It is an arithmetic number, because the mean of its divisors is an integer number (5207093820900).

Almost surely, 2^{100111200012105} is an apocalyptic number.

100111200012105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100111200012105 is a deficient number, since it is larger than the sum of its proper divisors (66515802256695).

100111200012105 is a wasteful number, since it uses less digits than its factorization.

100111200012105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285702393.

The product of its (nonzero) digits is 20, while the sum is 15.

Adding to 100111200012105 its reverse (501210002111001), we get a palindrome (601321202123106).

The spelling of 100111200012105 in words is "one hundred trillion, one hundred eleven billion, two hundred million, twelve thousand, one hundred five".