101221100495813 has 2 divisors, whose sum is σ = 101221100495814. Its totient is φ = 101221100495812.

The previous prime is 101221100495791. The next prime is 101221100495843. The reversal of 101221100495813 is 318594001122101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99932471404129 + 1288629091684 = 9996623^2 + 1135178^2 .

It is a cyclic number.

It is not a de Polignac number, because 101221100495813 - 2¹² = 101221100491717 is a prime.

It is a super-2 number, since 2×101221100495813² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101221100495843) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50610550247906 + 50610550247907.

It is an arithmetic number, because the mean of its divisors is an integer number (50610550247907).

Almost surely, 2^{101221100495813} is an apocalyptic number.

It is an amenable number.

101221100495813 is a deficient number, since it is larger than the sum of its proper divisors (1).

101221100495813 is an equidigital number, since it uses as much as digits as its factorization.

101221100495813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 38.

The spelling of 101221100495813 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred million, four hundred ninety-five thousand, eight hundred thirteen".