101627345077 has 2 divisors, whose sum is σ = 101627345078. Its totient is φ = 101627345076.

The previous prime is 101627345033. The next prime is 101627345089. The reversal of 101627345077 is 770543726101.

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., 79591130161 + 22036214916 = 282119^2 + 148446^2 .

It is an emirp because it is prime and its reverse (770543726101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101627345077 - 2¹¹ = 101627343029 is a prime.

It is a super-2 number, since 2×101627345077² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101627345377) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50813672538 + 50813672539.

It is an arithmetic number, because the mean of its divisors is an integer number (50813672539).

Almost surely, 2^101627345077 is an apocalyptic number.

It is an amenable number.

101627345077 is a deficient number, since it is larger than the sum of its proper divisors (1).

101627345077 is an equidigital number, since it uses as much as digits as its factorization.

101627345077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 246960, while the sum is 43.

The spelling of 101627345077 in words is "one hundred one billion, six hundred twenty-seven million, three hundred forty-five thousand, seventy-seven".