100000122101 has 16 divisors (see below), whose sum is σ = 109735560000. Its totient is φ = 90372871680.

The previous prime is 100000122083. The next prime is 100000122127. The reversal of 100000122101 is 101221000001.

It is a cyclic number.

It is not a de Polignac number, because 100000122101 - 2³⁰ = 98926380277 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000122301) 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, 2688110 + ... + 2725056.

It is an arithmetic number, because the mean of its divisors is an integer number (6858472500).

Almost surely, 2^100000122101 is an apocalyptic number.

100000122101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100000122101 is a deficient number, since it is larger than the sum of its proper divisors (9735437899).

100000122101 is a wasteful number, since it uses less digits than its factorization.

100000122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38404.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100000122101 its reverse (101221000001), we get a palindrome (201221122102).

The spelling of 100000122101 in words is "one hundred billion, one hundred twenty-two thousand, one hundred one".