100122210111121 has 8 divisors (see below), whose sum is σ = 109227894443424. Its totient is φ = 91017136650720.

The previous prime is 100122210111109. The next prime is 100122210111137. The reversal of 100122210111121 is 121111012221001.

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 100122210111121 - 2³⁵ = 100087850372753 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100122210111095 and 100122210111104.

It is not an unprimeable number, because it can be changed into a prime (100122210121121) 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, 152375236 + ... + 153030901.

It is an arithmetic number, because the mean of its divisors is an integer number (13653486805428).

Almost surely, 2^{100122210111121} is an apocalyptic number.

100122210111121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100122210111121 is a deficient number, since it is larger than the sum of its proper divisors (9105684332303).

100122210111121 is a wasteful number, since it uses less digits than its factorization.

100122210111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305435951.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 100122210111121 its reverse (121111012221001), we get a palindrome (221233222332122).

The spelling of 100122210111121 in words is "one hundred trillion, one hundred twenty-two billion, two hundred ten million, one hundred eleven thousand, one hundred twenty-one".