100012110121 has 8 divisors (see below), whose sum is σ = 124690423104. Its totient is φ = 77931514320.

The previous prime is 100012110113. The next prime is 100012110203. The reversal of 100012110121 is 121011210001.

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

It is not a de Polignac number, because 100012110121 - 2³ = 100012110113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100012110098 and 100012110107.

It is not an unprimeable number, because it can be changed into a prime (100012116121) 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 7 ways as a sum of consecutive naturals, for example, 649429210 + ... + 649429363.

It is an arithmetic number, because the mean of its divisors is an integer number (15586302888).

Almost surely, 2^100012110121 is an apocalyptic number.

100012110121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100012110121 is a deficient number, since it is larger than the sum of its proper divisors (24678312983).

100012110121 is a wasteful number, since it uses less digits than its factorization.

100012110121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298858591.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100012110121 its reverse (121011210001), we get a palindrome (221023320122).

It can be divided in two parts, 1000 and 12110121, that added together give a palindrome (12111121).

The spelling of 100012110121 in words is "one hundred billion, twelve million, one hundred ten thousand, one hundred twenty-one".