100211866782281 has 2 divisors, whose sum is σ = 100211866782282. Its totient is φ = 100211866782280.

The previous prime is 100211866782149. The next prime is 100211866782311. The reversal of 100211866782281 is 182287668112001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86095758288400 + 14116108493881 = 9278780^2 + 3757141^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100211866782281 is a prime.

It is a super-2 number, since 2×100211866782281² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100211862782281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105933391140 + 50105933391141.

It is an arithmetic number, because the mean of its divisors is an integer number (50105933391141).

Almost surely, 2^{100211866782281} is an apocalyptic number.

It is an amenable number.

100211866782281 is a deficient number, since it is larger than the sum of its proper divisors (1).

100211866782281 is an equidigital number, since it uses as much as digits as its factorization.

100211866782281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1032192, while the sum is 53.

The spelling of 100211866782281 in words is "one hundred trillion, two hundred eleven billion, eight hundred sixty-six million, seven hundred eighty-two thousand, two hundred eighty-one".