100011212120101 has 12 divisors (see below), whose sum is σ = 106311730667328. Its totient is φ = 94064898498752.

The previous prime is 100011212120087. The next prime is 100011212120159. The reversal of 100011212120101 is 101021212110001.

It is a happy number.

It is not a de Polignac number, because 100011212120101 - 2⁹ = 100011212119589 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 (100011212120191) 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 11 ways as a sum of consecutive naturals, for example, 115931911 + ... + 116791396.

It is an arithmetic number, because the mean of its divisors is an integer number (8859310888944).

Almost surely, 2^{100011212120101} is an apocalyptic number.

It is an amenable number.

100011212120101 is a deficient number, since it is larger than the sum of its proper divisors (6300518547227).

100011212120101 is a wasteful number, since it uses less digits than its factorization.

100011212120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232724828 (or 232724811 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100011212120101 its reverse (101021212110001), we get a palindrome (201032424230102).

The spelling of 100011212120101 in words is "one hundred trillion, eleven billion, two hundred twelve million, one hundred twenty thousand, one hundred one".