211100110101061 has 2 divisors, whose sum is σ = 211100110101062. Its totient is φ = 211100110101060.

The previous prime is 211100110101037. The next prime is 211100110101121. The reversal of 211100110101061 is 160101011001112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 209241114198561 + 1858995902500 = 14465169^2 + 1363450^2 .

It is a cyclic number.

It is not a de Polignac number, because 211100110101061 - 2²⁹ = 211099573230149 is a prime.

It is a super-3 number, since 3×211100110101061³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211100110131061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105550055050530 + 105550055050531.

It is an arithmetic number, because the mean of its divisors is an integer number (105550055050531).

Almost surely, 2^{211100110101061} is an apocalyptic number.

It is an amenable number.

211100110101061 is a deficient number, since it is larger than the sum of its proper divisors (1).

211100110101061 is an equidigital number, since it uses as much as digits as its factorization.

211100110101061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 16.

Adding to 211100110101061 its reverse (160101011001112), we get a palindrome (371201121102173).

The spelling of 211100110101061 in words is "two hundred eleven trillion, one hundred billion, one hundred ten million, one hundred one thousand, sixty-one".