100101211010211 has 8 divisors (see below), whose sum is σ = 134789749479504. Its totient is φ = 66073406607200.

The previous prime is 100101211010201. The next prime is 100101211010291. The reversal of 100101211010211 is 112010112101001.

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 100101211010211 - 2²³ = 100101202621603 is a prime.

It is a super-3 number, since 3×100101211010211³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (100101211010201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165183516216 + ... + 165183516821.

It is an arithmetic number, because the mean of its divisors is an integer number (16848718684938).

Almost surely, 2^{100101211010211} is an apocalyptic number.

100101211010211 is a deficient number, since it is larger than the sum of its proper divisors (34688538469293).

100101211010211 is a wasteful number, since it uses less digits than its factorization.

100101211010211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330367033141.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100101211010211 its reverse (112010112101001), we get a palindrome (212111323111212).

The spelling of 100101211010211 in words is "one hundred trillion, one hundred one billion, two hundred eleven million, ten thousand, two hundred eleven".