100212110000011 has 8 divisors (see below), whose sum is σ = 101221146240048. Its totient is φ = 99203403900000.

The previous prime is 100212109999931. The next prime is 100212110000027. The reversal of 100212110000011 is 110000011212001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100212110000011 - 2¹⁷ = 100212109868939 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100212110000911) by changing a digit.

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, 81924840 + ... + 83139061.

It is an arithmetic number, because the mean of its divisors is an integer number (12652643280006).

Almost surely, 2^{100212110000011} is an apocalyptic number.

100212110000011 is a deficient number, since it is larger than the sum of its proper divisors (1009036240037).

100212110000011 is a wasteful number, since it uses less digits than its factorization.

100212110000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165070013.

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

Adding to 100212110000011 its reverse (110000011212001), we get a palindrome (210212121212012).

The spelling of 100212110000011 in words is "one hundred trillion, two hundred twelve billion, one hundred ten million, eleven", and thus it is an aban number.