102100001077 has 2 divisors, whose sum is σ = 102100001078. Its totient is φ = 102100001076.

The previous prime is 102100001027. The next prime is 102100001119. The reversal of 102100001077 is 770100001201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98755576516 + 3344424561 = 314254^2 + 57831^2 .

It is a cyclic number.

It is not a de Polignac number, because 102100001077 - 2²⁷ = 101965783349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102100001027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050000538 + 51050000539.

It is an arithmetic number, because the mean of its divisors is an integer number (51050000539).

Almost surely, 2^102100001077 is an apocalyptic number.

It is an amenable number.

102100001077 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100001077 is an equidigital number, since it uses as much as digits as its factorization.

102100001077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 98, while the sum is 19.

Adding to 102100001077 its reverse (770100001201), we get a palindrome (872200002278).

The spelling of 102100001077 in words is "one hundred two billion, one hundred million, one thousand, seventy-seven".