100110122121 has 16 divisors (see below), whose sum is σ = 141792323904. Its totient is φ = 62609577984.

The previous prime is 100110122033. The next prime is 100110122209. The reversal of 100110122121 is 121221011001.

It is an interprime number because it is at equal distance from previous prime (100110122033) and next prime (100110122209).

It is not a de Polignac number, because 100110122121 - 2¹¹ = 100110120073 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100110122097 and 100110122106.

It is not an unprimeable number, because it can be changed into a prime (100110122221) 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, 3181320 + ... + 3212633.

It is an arithmetic number, because the mean of its divisors is an integer number (8862020244).

Almost surely, 2^100110122121 is an apocalyptic number.

It is an amenable number.

100110122121 is a deficient number, since it is larger than the sum of its proper divisors (41682201783).

100110122121 is a wasteful number, since it uses less digits than its factorization.

100110122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6394280.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100110122121 its reverse (121221011001), we get a palindrome (221331133122).

The spelling of 100110122121 in words is "one hundred billion, one hundred ten million, one hundred twenty-two thousand, one hundred twenty-one".