211110102100101 has 32 divisors (see below), whose sum is σ = 286054955665920. Its totient is φ = 138465434764800.

The previous prime is 211110102100097. The next prime is 211110102100159. The reversal of 211110102100101 is 101001201011112.

It is not a de Polignac number, because 211110102100101 - 2² = 211110102100097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211110102100171) 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 31 ways as a sum of consecutive naturals, for example, 519284931 + ... + 519691311.

It is an arithmetic number, because the mean of its divisors is an integer number (8939217364560).

Almost surely, 2^{211110102100101} is an apocalyptic number.

It is an amenable number.

211110102100101 is a deficient number, since it is larger than the sum of its proper divisors (74944853565819).

211110102100101 is a wasteful number, since it uses less digits than its factorization.

211110102100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414237.

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

Adding to 211110102100101 its reverse (101001201011112), we get a palindrome (312111303111213).

The spelling of 211110102100101 in words is "two hundred eleven trillion, one hundred ten billion, one hundred two million, one hundred thousand, one hundred one".