100212112211211 has 192 divisors, whose sum is σ = 197830916075520. Its totient is φ = 47199588433920.

The previous prime is 100212112211149. The next prime is 100212112211249. The reversal of 100212112211211 is 112112211212001.

It is a happy number.

100212112211211 is a `hidden beast` number, since 1 + 0 + 0 + 21 + 211 + 221 + 1 + 211 = 666.

It is not a de Polignac number, because 100212112211211 - 2¹⁵ = 100212112178443 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100212112211291) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 136995445 + ... + 137725001.

It is an arithmetic number, because the mean of its divisors is an integer number (1030369354560).

Almost surely, 2^{100212112211211} is an apocalyptic number.

100212112211211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100212112211211 is a deficient number, since it is larger than the sum of its proper divisors (97618803864309).

100212112211211 is a wasteful number, since it uses less digits than its factorization.

100212112211211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729866 (or 729863 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 100212112211211 its reverse (112112211212001), we get a palindrome (212324323423212).

The spelling of 100212112211211 in words is "one hundred trillion, two hundred twelve billion, one hundred twelve million, two hundred eleven thousand, two hundred eleven".