100210121 has 16 divisors (see below), whose sum is σ = 117946368. Its totient is φ = 84115200.

The previous prime is 100210069. The next prime is 100210147. The reversal of 100210121 is 121012001.

It is a cyclic number.

It is not a de Polignac number, because 100210121 - 2¹⁸ = 99947977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100210099 and 100210108.

It is not an unprimeable number, because it can be changed into a prime (100210421) 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, 4856 + ... + 14966.

It is an arithmetic number, because the mean of its divisors is an integer number (7371648).

Almost surely, 2^100210121 is an apocalyptic number.

100210121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100210121 is a deficient number, since it is larger than the sum of its proper divisors (17736247).

100210121 is a wasteful number, since it uses less digits than its factorization.

100210121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10192.

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 100210121 is about 10010.5005369362. The cubic root of 100210121 is about 464.4837543558.

Adding to 100210121 its reverse (121012001), we get a palindrome (221222122).

The spelling of 100210121 in words is "one hundred million, two hundred ten thousand, one hundred twenty-one".