102100101849877 has 2 divisors, whose sum is σ = 102100101849878. Its totient is φ = 102100101849876.

The previous prime is 102100101849857. The next prime is 102100101849899. The reversal of 102100101849877 is 778948101001201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84037720849681 + 18062381000196 = 9167209^2 + 4249986^2 .

It is a cyclic number.

It is not a de Polignac number, because 102100101849877 - 2³⁹ = 101550346035989 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102100101849877.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102100101849827) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050050924938 + 51050050924939.

It is an arithmetic number, because the mean of its divisors is an integer number (51050050924939).

Almost surely, 2^{102100101849877} is an apocalyptic number.

It is an amenable number.

102100101849877 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100101849877 is an equidigital number, since it uses as much as digits as its factorization.

102100101849877 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 225792, while the sum is 49.

The spelling of 102100101849877 in words is "one hundred two trillion, one hundred billion, one hundred one million, eight hundred forty-nine thousand, eight hundred seventy-seven".