100110122121121 has 8 divisors (see below), whose sum is σ = 114418418033664. Its totient is φ = 85803538682400.

The previous prime is 100110122121101. The next prime is 100110122121143. The reversal of 100110122121121 is 121121221011001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-100110122121121 is a prime.

It is a super-2 number, since 2×100110122121121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100110122121095 and 100110122121104.

It is not an unprimeable number, because it can be changed into a prime (100110122121101) 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, 427993180 + ... + 428227021.

It is an arithmetic number, because the mean of its divisors is an integer number (14302302254208).

Almost surely, 2^{100110122121121} is an apocalyptic number.

It is an amenable number.

100110122121121 is a deficient number, since it is larger than the sum of its proper divisors (14308295912543).

100110122121121 is an equidigital number, since it uses as much as digits as its factorization.

100110122121121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856236911.

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

Adding to 100110122121121 its reverse (121121221011001), we get a palindrome (221231343132122).

The spelling of 100110122121121 in words is "one hundred trillion, one hundred ten billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty-one".