100122000121 has 8 divisors (see below), whose sum is σ = 117625846464. Its totient is φ = 84018461520.

The previous prime is 100122000113. The next prime is 100122000149. The reversal of 100122000121 is 121000221001.

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 100122000121 - 2³ = 100122000113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100122000098 and 100122000107.

It is not an unprimeable number, because it can be changed into a prime (100122000161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 350076781 + ... + 350077066.

It is an arithmetic number, because the mean of its divisors is an integer number (14703230808).

Almost surely, 2^100122000121 is an apocalyptic number.

100122000121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100122000121 is a deficient number, since it is larger than the sum of its proper divisors (17503846343).

100122000121 is a wasteful number, since it uses less digits than its factorization.

100122000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700153871.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100122000121 its reverse (121000221001), we get a palindrome (221122221122).

It can be divided in two parts, 100 and 122000121, that added together give a palindrome (122000221).

The spelling of 100122000121 in words is "one hundred billion, one hundred twenty-two million, one hundred twenty-one", and thus it is an aban number.