101404181677 has 2 divisors, whose sum is σ = 101404181678. Its totient is φ = 101404181676.

The previous prime is 101404181657. The next prime is 101404181717. The reversal of 101404181677 is 776181404101.

It is an a-pointer prime, because the next prime (101404181717) can be obtained adding 101404181677 to its sum of digits (40).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83145145801 + 18259035876 = 288349^2 + 135126^2 .

It is a cyclic number.

It is not a de Polignac number, because 101404181677 - 2²³ = 101395793069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101404181657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50702090838 + 50702090839.

It is an arithmetic number, because the mean of its divisors is an integer number (50702090839).

Almost surely, 2^101404181677 is an apocalyptic number.

It is an amenable number.

101404181677 is a deficient number, since it is larger than the sum of its proper divisors (1).

101404181677 is an equidigital number, since it uses as much as digits as its factorization.

101404181677 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37632, while the sum is 40.

Adding to 101404181677 its reverse (776181404101), we get a palindrome (877585585778).

The spelling of 101404181677 in words is "one hundred one billion, four hundred four million, one hundred eighty-one thousand, six hundred seventy-seven".