100111121 has 16 divisors (see below), whose sum is σ = 113453568. Its totient is φ = 87513600.

The previous prime is 100111087. The next prime is 100111127. The reversal of 100111121 is 121111001.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100111121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100111099 and 100111108.

It is not an unprimeable number, because it can be changed into a prime (100111127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58145 + ... + 59841.

It is an arithmetic number, because the mean of its divisors is an integer number (7090848).

Almost surely, 2^100111121 is an apocalyptic number.

100111121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100111121 is a deficient number, since it is larger than the sum of its proper divisors (13342447).

100111121 is a wasteful number, since it uses less digits than its factorization.

100111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912.

The product of its (nonzero) digits is 2, while the sum is 8.

The square root of 100111121 is about 10005.5545073724. The cubic root of 100111121 is about 464.3307457162.

Adding to 100111121 its reverse (121111001), we get a palindrome (221222122).

It can be divided in two parts, 1001 and 11121, that multiplied together give a triangular number (11132121 = T₄₇₁₈).

The spelling of 100111121 in words is "one hundred million, one hundred eleven thousand, one hundred twenty-one".