100110121001121 has 48 divisors (see below), whose sum is σ = 167257307593728. Its totient is φ = 51743919981600.

The previous prime is 100110121001117. The next prime is 100110121001201. The reversal of 100110121001121 is 121100121011001.

It is not a de Polignac number, because 100110121001121 - 2² = 100110121001117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100110121001097 and 100110121001106.

It is not an unprimeable number, because it can be changed into a prime (100110120001121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3676036 + ... + 14619626.

It is an arithmetic number, because the mean of its divisors is an integer number (3484527241536).

Almost surely, 2^{100110121001121} is an apocalyptic number.

100110121001121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100110121001121 is a deficient number, since it is larger than the sum of its proper divisors (67147186592607).

100110121001121 is a wasteful number, since it uses less digits than its factorization.

100110121001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10944010 (or 10943811 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100110121001121 its reverse (121100121011001), we get a palindrome (221210242012122).

The spelling of 100110121001121 in words is "one hundred trillion, one hundred ten billion, one hundred twenty-one million, one thousand, one hundred twenty-one".