100112121 has 24 divisors (see below), whose sum is σ = 156341120. Its totient is φ = 61515936.

The previous prime is 100112107. The next prime is 100112141. The reversal of 100112121 is 121211001.

It is a happy number.

It is not a de Polignac number, because 100112121 - 2¹⁹ = 99587833 is a prime.

It is a super-2 number, since 2×100112121² = 20044873542237282, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100112101) 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 23 ways as a sum of consecutive naturals, for example, 1585 + ... + 14238.

Almost surely, 2^100112121 is an apocalyptic number.

It is an amenable number.

100112121 is a deficient number, since it is larger than the sum of its proper divisors (56228999).

100112121 is a wasteful number, since it uses less digits than its factorization.

100112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15885 (or 15882 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 100112121 is about 10005.6044794905. The cubic root of 100112121 is about 464.3322917622.

Adding to 100112121 its reverse (121211001), we get a palindrome (221323122).

It can be divided in two parts, 1001 and 12121, that multiplied together give a palindrome (12133121).

The spelling of 100112121 in words is "one hundred million, one hundred twelve thousand, one hundred twenty-one".