100001121121 has 16 divisors (see below), whose sum is σ = 110453353920. Its totient is φ = 89779783680.

The previous prime is 100001121107. The next prime is 100001121133. The reversal of 100001121121 is 121121100001.

It is a cyclic number.

It is not a de Polignac number, because 100001121121 - 2²⁹ = 99464250209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100001121098 and 100001121107.

It is not an unprimeable number, because it can be changed into a prime (100001121191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 397945 + ... + 598633.

It is an arithmetic number, because the mean of its divisors is an integer number (6903334620).

Almost surely, 2^100001121121 is an apocalyptic number.

100001121121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100001121121 is a deficient number, since it is larger than the sum of its proper divisors (10452232799).

100001121121 is a wasteful number, since it uses less digits than its factorization.

100001121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201264.

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

Adding to 100001121121 its reverse (121121100001), we get a palindrome (221122221122).

It can be divided in two parts, 100001 and 121121, that multiplied together give a palindrome (12112221121).

The spelling of 100001121121 in words is "one hundred billion, one million, one hundred twenty-one thousand, one hundred twenty-one".