101771672221 has 2 divisors, whose sum is σ = 101771672222. Its totient is φ = 101771672220.

The previous prime is 101771672213. The next prime is 101771672279. The reversal of 101771672221 is 122276177101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89141059225 + 12630612996 = 298565^2 + 112386^2 .

It is a cyclic number.

It is not a de Polignac number, because 101771672221 - 2³ = 101771672213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101771672621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50885836110 + 50885836111.

It is an arithmetic number, because the mean of its divisors is an integer number (50885836111).

Almost surely, 2^101771672221 is an apocalyptic number.

It is an amenable number.

101771672221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101771672221 is an equidigital number, since it uses as much as digits as its factorization.

101771672221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16464, while the sum is 37.

The spelling of 101771672221 in words is "one hundred one billion, seven hundred seventy-one million, six hundred seventy-two thousand, two hundred twenty-one".