100212311 has 16 divisors (see below), whose sum is σ = 107205120. Its totient is φ = 93471840.

The previous prime is 100212293. The next prime is 100212341. The reversal of 100212311 is 113212001.

It is a cyclic number.

It is not a de Polignac number, because 100212311 - 2¹⁸ = 99950167 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100212292 and 100212301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212341) 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 15 ways as a sum of consecutive naturals, for example, 177716 + ... + 178278.

It is an arithmetic number, because the mean of its divisors is an integer number (6700320).

Almost surely, 2^100212311 is an apocalyptic number.

100212311 is a deficient number, since it is larger than the sum of its proper divisors (6992809).

100212311 is a wasteful number, since it uses less digits than its factorization.

100212311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 100212311 is about 10010.6099214783. The cubic root of 100212311 is about 464.4871379528.

Adding to 100212311 its reverse (113212001), we get a palindrome (213424312).

The spelling of 100212311 in words is "one hundred million, two hundred twelve thousand, three hundred eleven".