2100212101 has 8 divisors (see below), whose sum is σ = 2380807520. Its totient is φ = 1836622512.

The previous prime is 2100212099. The next prime is 2100212111. The reversal of 2100212101 is 1012120012.

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 2100212101 - 2¹ = 2100212099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100212111) 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, 4251195 + ... + 4251688.

It is an arithmetic number, because the mean of its divisors is an integer number (297600940).

Almost surely, 2^2100212101 is an apocalyptic number.

It is an amenable number.

2100212101 is a deficient number, since it is larger than the sum of its proper divisors (280595419).

2100212101 is a wasteful number, since it uses less digits than its factorization.

2100212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8502915.

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

The square root of 2100212101 is about 45828.0711027641. The cubic root of 2100212101 is about 1280.6222765713.

Adding to 2100212101 its reverse (1012120012), we get a palindrome (3112332113).

The spelling of 2100212101 in words is "two billion, one hundred million, two hundred twelve thousand, one hundred one".