100100000212111 has 16 divisors (see below), whose sum is σ = 103444147889280. Its totient is φ = 96802084663200.

The previous prime is 100100000212063. The next prime is 100100000212207. The reversal of 100100000212111 is 111212000001001.

It is a cyclic number.

It is not a de Polignac number, because 100100000212111 - 2¹³ = 100100000203919 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100000242111) 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 15 ways as a sum of consecutive naturals, for example, 242319780 + ... + 242732518.

It is an arithmetic number, because the mean of its divisors is an integer number (6465259243080).

Almost surely, 2^{100100000212111} is an apocalyptic number.

100100000212111 is a deficient number, since it is larger than the sum of its proper divisors (3344147677169).

100100000212111 is a wasteful number, since it uses less digits than its factorization.

100100000212111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468726.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100100000212111 its reverse (111212000001001), we get a palindrome (211312000213112).

The spelling of 100100000212111 in words is "one hundred trillion, one hundred billion, two hundred twelve thousand, one hundred eleven".