102858135101 has 2 divisors, whose sum is σ = 102858135102. Its totient is φ = 102858135100.

The previous prime is 102858135031. The next prime is 102858135103. The reversal of 102858135101 is 101531858201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62155476100 + 40702659001 = 249310^2 + 201749^2 .

It is an emirp because it is prime and its reverse (101531858201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102858135101 - 2²⁶ = 102791026237 is a prime.

Together with 102858135103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102858135103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51429067550 + 51429067551.

It is an arithmetic number, because the mean of its divisors is an integer number (51429067551).

Almost surely, 2^102858135101 is an apocalyptic number.

It is an amenable number.

102858135101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102858135101 is an equidigital number, since it uses as much as digits as its factorization.

102858135101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9600, while the sum is 35.

The spelling of 102858135101 in words is "one hundred two billion, eight hundred fifty-eight million, one hundred thirty-five thousand, one hundred one".