100067121 has 36 divisors (see below), whose sum is σ = 181586496. Its totient is φ = 51978960.

The previous prime is 100067119. The next prime is 100067131. The reversal of 100067121 is 121760001.

It is not a de Polignac number, because 100067121 - 2¹ = 100067119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100067094 and 100067103.

It is not an unprimeable number, because it can be changed into a prime (100067111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1060 + ... + 14186.

Almost surely, 2^100067121 is an apocalyptic number.

100067121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100067121 is a deficient number, since it is larger than the sum of its proper divisors (81519375).

100067121 is a wasteful number, since it uses less digits than its factorization.

100067121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13162 (or 13148 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 100067121 is about 10003.3554870353. The cubic root of 100067121 is about 464.2627094964.

It can be divided in two parts, 1000 and 67121, that added together give a square (68121 = 261²).

The spelling of 100067121 in words is "one hundred million, sixty-seven thousand, one hundred twenty-one".