100122121 has 8 divisors (see below), whose sum is σ = 110059488. Its totient is φ = 90324000.

The previous prime is 100122089. The next prime is 100122179. The reversal of 100122121 is 121221001.

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

It is a cyclic number.

It is not a de Polignac number, because 100122121 - 2⁵ = 100122089 is a prime.

It is a super-2 number, since 2×100122121² = 20048878227077282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100122098 and 100122107.

It is not an unprimeable number, because it can be changed into a prime (100122221) 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 7 ways as a sum of consecutive naturals, for example, 33300 + ... + 36181.

It is an arithmetic number, because the mean of its divisors is an integer number (13757436).

Almost surely, 2^100122121 is an apocalyptic number.

100122121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100122121 is a deficient number, since it is larger than the sum of its proper divisors (9937367).

100122121 is a wasteful number, since it uses less digits than its factorization.

100122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69623.

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 100122121 is about 10006.1041869451. The cubic root of 100122121 is about 464.3477516562.

Adding to 100122121 its reverse (121221001), we get a palindrome (221343122).

It can be divided in two parts, 100 and 122121, that added together give a palindrome (122221).

The spelling of 100122121 in words is "one hundred million, one hundred twenty-two thousand, one hundred twenty-one".