102129977 has 2 divisors, whose sum is σ = 102129978. Its totient is φ = 102129976.

The previous prime is 102129961. The next prime is 102129983. The reversal of 102129977 is 779921201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74839801 + 27290176 = 8651^2 + 5224^2 .

It is a cyclic number.

It is not a de Polignac number, because 102129977 - 2⁴ = 102129961 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102129977.

It is not a weakly prime, because it can be changed into another prime (102129947) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51064988 + 51064989.

It is an arithmetic number, because the mean of its divisors is an integer number (51064989).

Almost surely, 2^102129977 is an apocalyptic number.

It is an amenable number.

102129977 is a deficient number, since it is larger than the sum of its proper divisors (1).

102129977 is an equidigital number, since it uses as much as digits as its factorization.

102129977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15876, while the sum is 38.

The square root of 102129977 is about 10105.9377100792. The cubic root of 102129977 is about 467.4312511028.

The spelling of 102129977 in words is "one hundred two million, one hundred twenty-nine thousand, nine hundred seventy-seven".