100212101 has 16 divisors (see below), whose sum is σ = 111628800. Its totient is φ = 89197680.

The previous prime is 100212097. The next prime is 100212103. The reversal of 100212101 is 101212001.

It is not a de Polignac number, because 100212101 - 2² = 100212097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212103) 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, 167000 + ... + 167598.

It is an arithmetic number, because the mean of its divisors is an integer number (6976800).

Almost surely, 2^100212101 is an apocalyptic number.

100212101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100212101 is a deficient number, since it is larger than the sum of its proper divisors (11416699).

100212101 is a wasteful number, since it uses less digits than its factorization.

100212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904.

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

The square root of 100212101 is about 10010.5994326014. The cubic root of 100212101 is about 464.4868135005.

Adding to 100212101 its reverse (101212001), we get a palindrome (201424102).

The spelling of 100212101 in words is "one hundred million, two hundred twelve thousand, one hundred one".