102012020177 has 2 divisors, whose sum is σ = 102012020178. Its totient is φ = 102012020176.

The previous prime is 102012020171. The next prime is 102012020179. The reversal of 102012020177 is 771020210201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100336264081 + 1675756096 = 316759^2 + 40936^2 .

It is a cyclic number.

It is not a de Polignac number, because 102012020177 - 2²⁴ = 101995242961 is a prime.

It is a super-2 number, since 2×102012020177² (a number of 23 digits) contains 22 as substring.

Together with 102012020179, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (102012020171) 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, 51006010088 + 51006010089.

It is an arithmetic number, because the mean of its divisors is an integer number (51006010089).

Almost surely, 2^102012020177 is an apocalyptic number.

It is an amenable number.

102012020177 is a deficient number, since it is larger than the sum of its proper divisors (1).

102012020177 is an equidigital number, since it uses as much as digits as its factorization.

102012020177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 392, while the sum is 23.

Adding to 102012020177 its reverse (771020210201), we get a palindrome (873032230378).

The spelling of 102012020177 in words is "one hundred two billion, twelve million, twenty thousand, one hundred seventy-seven".