211210100112101 has 2 divisors, whose sum is σ = 211210100112102. Its totient is φ = 211210100112100.

The previous prime is 211210100112097. The next prime is 211210100112161. The reversal of 211210100112101 is 101211001012112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 191920875309601 + 19289224802500 = 13853551^2 + 4391950^2 .

It is a cyclic number.

It is not a de Polignac number, because 211210100112101 - 2² = 211210100112097 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211210100112161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105605050056050 + 105605050056051.

It is an arithmetic number, because the mean of its divisors is an integer number (105605050056051).

Almost surely, 2^{211210100112101} is an apocalyptic number.

It is an amenable number.

211210100112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

211210100112101 is an equidigital number, since it uses as much as digits as its factorization.

211210100112101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 211210100112101 its reverse (101211001012112), we get a palindrome (312421101124213).

It can be divided in two parts, 21121010011 and 2101, that added together give a palindrome (21121012112).

The spelling of 211210100112101 in words is "two hundred eleven trillion, two hundred ten billion, one hundred million, one hundred twelve thousand, one hundred one".